Meersseman, Laurent; Nicolau, Marcel; Ribón, Javier On the automorphism group of foliations with geometric transverse structures. (English) Zbl 07525050 Math. Z. 301, No. 2, 1603-1630 (2022). Reviewer: James Hebda (St. Louis) MSC: 53C12 22E65 58D27 22F50 PDF BibTeX XML Cite \textit{L. Meersseman} et al., Math. Z. 301, No. 2, 1603--1630 (2022; Zbl 07525050) Full Text: DOI OpenURL
Glöckner, Helge; Schmeding, Alexander Manifolds of mappings on Cartesian products. (English) Zbl 1484.58005 Ann. Global Anal. Geom. 61, No. 2, 359-398 (2022). MSC: 58D15 22E65 26E15 26E20 46E40 46T20 58A05 PDF BibTeX XML Cite \textit{H. Glöckner} and \textit{A. Schmeding}, Ann. Global Anal. Geom. 61, No. 2, 359--398 (2022; Zbl 1484.58005) Full Text: DOI arXiv OpenURL
Ando, Hiroshi; Doucha, Michal; Matsuzawa, Yasumichi Large scale geometry of Banach-Lie groups. (English) Zbl 07487611 Trans. Am. Math. Soc. 375, No. 4, 2827-2881 (2022). MSC: 22E65 51F30 22D55 PDF BibTeX XML Cite \textit{H. Ando} et al., Trans. Am. Math. Soc. 375, No. 4, 2827--2881 (2022; Zbl 07487611) Full Text: DOI arXiv OpenURL
Diez, Tobias; Rudolph, Gerd Normal form of equivariant maps in infinite dimensions. (English) Zbl 07478462 Ann. Global Anal. Geom. 61, No. 1, 159-213 (2022). Reviewer: Albert Luo (Edwardsville) MSC: 58C25 58K70 58D27 58D19 22E65 70S15 PDF BibTeX XML Cite \textit{T. Diez} and \textit{G. Rudolph}, Ann. Global Anal. Geom. 61, No. 1, 159--213 (2022; Zbl 07478462) Full Text: DOI arXiv OpenURL
Azam, Saeid; Farahmand Parsa, Amir; Izadi Farhadi, Mehdi Integral structures in extended affine Lie algebras. (English) Zbl 07474383 J. Algebra 597, 116-161 (2022). MSC: 17B67 17B65 19C99 20G44 22E65 PDF BibTeX XML Cite \textit{S. Azam} et al., J. Algebra 597, 116--161 (2022; Zbl 07474383) Full Text: DOI arXiv OpenURL
Chiumiento, Eduardo; Massey, Pedro On restricted diagonalization. (English) Zbl 07457103 J. Funct. Anal. 282, No. 4, Article ID 109342, 32 p. (2022). MSC: 22E65 47B10 47A53 PDF BibTeX XML Cite \textit{E. Chiumiento} and \textit{P. Massey}, J. Funct. Anal. 282, No. 4, Article ID 109342, 32 p. (2022; Zbl 07457103) Full Text: DOI arXiv OpenURL
Lean, Madeleine Jotz; Mackenzie, Kirill C. H. Transitive double Lie algebroids via core diagrams. (English) Zbl 1484.22015 J. Geom. Mech. 13, No. 3, 403-457 (2021). Reviewer: Iakovos Androulidakis (Athína) MSC: 22E65 53C05 53D17 18N10 PDF BibTeX XML Cite \textit{M. J. Lean} and \textit{K. C. H. Mackenzie}, J. Geom. Mech. 13, No. 3, 403--457 (2021; Zbl 1484.22015) Full Text: DOI arXiv OpenURL
Helminck, Gerard F.; Weenink, Jeffrey A. Homogeneous spaces yielding solutions of the \(k[S]\)-hierarchy and its strict version. (English) Zbl 07432743 Vestn. Ross. Univ., Mat. 26, No. 135, 315-336 (2021). MSC: 22E65 35Q53 37K10 58B25 PDF BibTeX XML Cite \textit{G. F. Helminck} and \textit{J. A. Weenink}, Vestn. Ross. Univ., Mat. 26, No. 135, 315--336 (2021; Zbl 07432743) Full Text: DOI MNR OpenURL
Boysal, Arzu PRV for the fusion product, the case \(\lambda \gg \mu \). (English) Zbl 07428882 Math. Z. 299, No. 3-4, 1897-1906 (2021). MSC: 20G05 22E65 17B10 PDF BibTeX XML Cite \textit{A. Boysal}, Math. Z. 299, No. 3--4, 1897--1906 (2021; Zbl 07428882) Full Text: DOI arXiv OpenURL
Alzaareer, Hamza Lie groups of \(C^k\)-maps on non-compact manifolds and the fundamental theorem for Lie group-valued mappings. (English) Zbl 07421546 J. Group Theory 24, No. 6, 1099-1134 (2021). MSC: 22E65 46T05 PDF BibTeX XML Cite \textit{H. Alzaareer}, J. Group Theory 24, No. 6, 1099--1134 (2021; Zbl 07421546) Full Text: DOI OpenURL
Zhang, Wei; Li, Jr-Shin Ensemble control on Lie groups. (English) Zbl 1472.93017 SIAM J. Control Optim. 59, No. 5, 3805-3827 (2021). MSC: 93B05 93A15 93C35 93C10 34K35 22E65 22E46 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{J.-S. Li}, SIAM J. Control Optim. 59, No. 5, 3805--3827 (2021; Zbl 1472.93017) Full Text: DOI arXiv OpenURL
Hubicska, B.; Matveev, V. S.; Muzsnay, Z. Almost all Finsler metrics have infinite dimensional holonomy group. (English) Zbl 1476.53076 J. Geom. Anal. 31, No. 6, 6067-6079 (2021). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53C29 53B40 22E65 17B66 PDF BibTeX XML Cite \textit{B. Hubicska} et al., J. Geom. Anal. 31, No. 6, 6067--6079 (2021; Zbl 1476.53076) Full Text: DOI arXiv OpenURL
Hermas, Nadji; Bedida, Nabila On a class of regular Fréchet-Lie groups. (English) Zbl 1471.58004 Bull. Iran. Math. Soc. 47, No. 3, 627-647 (2021). Reviewer: Kaveh Eftekharinasab (Kyïv) MSC: 58B10 58B25 58D05 58D15 22E65 PDF BibTeX XML Cite \textit{N. Hermas} and \textit{N. Bedida}, Bull. Iran. Math. Soc. 47, No. 3, 627--647 (2021; Zbl 1471.58004) Full Text: DOI OpenURL
Pestov, Vladimir G.; Uspenskij, Vladimir V. On epimorphisms in some categories of infinite-dimensional Lie groups. (English) Zbl 07372734 J. Lie Theory 31, No. 3, 871-884 (2021). Reviewer: Alexander Schmeding (Bodø) MSC: 22E65 18A20 58D05 22A05 PDF BibTeX XML Cite \textit{V. G. Pestov} and \textit{V. V. Uspenskij}, J. Lie Theory 31, No. 3, 871--884 (2021; Zbl 07372734) Full Text: arXiv Link OpenURL
Flicker, Yuval Z. Affine Schur duality. (English) Zbl 1482.17054 J. Lie Theory 31, No. 3, 681-718 (2021). MSC: 17B67 17B10 17B20 17B65 22E50 22E65 22E67 PDF BibTeX XML Cite \textit{Y. Z. Flicker}, J. Lie Theory 31, No. 3, 681--718 (2021; Zbl 1482.17054) Full Text: Link OpenURL
Bottazzi, Tamara; Varela, Alejandro Geodesic neighborhoods in unitary orbits of self-adjoint operators of \(\mathcal{K}+\mathbb{C}\). (English) Zbl 07371920 Differ. Geom. Appl. 77, Article ID 101778, 16 p. (2021). MSC: 47B15 22E65 22F30 53C22 58B20 PDF BibTeX XML Cite \textit{T. Bottazzi} and \textit{A. Varela}, Differ. Geom. Appl. 77, Article ID 101778, 16 p. (2021; Zbl 07371920) Full Text: DOI arXiv OpenURL
Ando, Hiroshi; Matsuzawa, Yasumichi Polish groups of unitaries. (English) Zbl 07317285 Stud. Math. 257, No. 1, 25-70 (2021). MSC: 22A05 22E65 PDF BibTeX XML Cite \textit{H. Ando} and \textit{Y. Matsuzawa}, Stud. Math. 257, No. 1, 25--70 (2021; Zbl 07317285) Full Text: DOI arXiv OpenURL
Carpi, Sebastiano; Del Vecchio, Simone; Iovieno, Stefano; Tanimoto, Yoh Positive energy representations of Sobolev diffeomorphism groups of the circle. (English) Zbl 1458.81027 Anal. Math. Phys. 11, No. 1, Paper No. 12, 36 p. (2021). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 81R10 22E66 22E65 57S05 60J99 17B68 46L10 PDF BibTeX XML Cite \textit{S. Carpi} et al., Anal. Math. Phys. 11, No. 1, Paper No. 12, 36 p. (2021; Zbl 1458.81027) Full Text: DOI arXiv OpenURL
Duncan, Tyrone E. Theta functions and Brownian motion. (English) Zbl 1456.58025 J. Theor. Probab. 34, No. 1, 81-89 (2021). MSC: 58J65 22E65 60J90 22E67 PDF BibTeX XML Cite \textit{T. E. Duncan}, J. Theor. Probab. 34, No. 1, 81--89 (2021; Zbl 1456.58025) Full Text: DOI OpenURL
Beltiţă, Daniel; Odzijewicz, Anatol Standard groupoids of von Neumann algebras. (English) Zbl 1484.46062 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 – July 6, 2019. Cham: Birkhäuser. Trends Math., 31-39 (2020). MSC: 46L10 46L60 53D17 22A22 22E65 58B25 PDF BibTeX XML Cite \textit{D. Beltiţă} and \textit{A. Odzijewicz}, in: Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019. Cham: Birkhäuser. 31--39 (2020; Zbl 1484.46062) Full Text: DOI OpenURL
Grüning, Julius; Köhl, Ralf An extension theorem for non-compact split embedded Riemannian symmetric spaces and an application to their universal property. (English) Zbl 07335001 Adv. Geom. 20, No. 4, 499-506 (2020). MSC: 22E65 20G44 22F30 PDF BibTeX XML Cite \textit{J. Grüning} and \textit{R. Köhl}, Adv. Geom. 20, No. 4, 499--506 (2020; Zbl 07335001) Full Text: DOI arXiv OpenURL
Hubicska, Balázs; Muzsnay, Zoltán The holonomy group of locally projectively flat Randers two-manifolds of constant curvature. (English) Zbl 1461.53039 Differ. Geom. Appl. 73, Article ID 101677, 9 p. (2020). Reviewer: V. K. Chaubey (Gorakhpur) MSC: 53C29 53B40 22E65 17B66 PDF BibTeX XML Cite \textit{B. Hubicska} and \textit{Z. Muzsnay}, Differ. Geom. Appl. 73, Article ID 101677, 9 p. (2020; Zbl 1461.53039) Full Text: DOI arXiv OpenURL
Dahmen, Rafael; Schmeding, Alexander Lie groups of controlled characters of combinatorial Hopf algebras. (English) Zbl 1456.22007 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 7, No. 3, 395-456 (2020). Reviewer: Loïc Foissy (Calais) MSC: 22E65 16T05 16T30 43A40 46N40 46B45 PDF BibTeX XML Cite \textit{R. Dahmen} and \textit{A. Schmeding}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. (AIHPD) 7, No. 3, 395--456 (2020; Zbl 1456.22007) Full Text: DOI arXiv OpenURL
Amiri, Habib; Glöckner, Helge; Schmeding, Alexander Lie groupoids of mappings taking values in a Lie groupoid. (English) Zbl 07285968 Arch. Math., Brno 56, No. 5, 307-356 (2020). MSC: 22A22 22E65 22E67 46T10 47H30 58D15 58H05 PDF BibTeX XML Cite \textit{H. Amiri} et al., Arch. Math., Brno 56, No. 5, 307--356 (2020; Zbl 07285968) Full Text: DOI arXiv OpenURL
Ignatyev, M. V.; Penkov, I. Ind-varieties of generalized flags: a survey. (English. Russian original) Zbl 1473.22016 J. Math. Sci., New York 248, No. 3, 255-302 (2020); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 147, 3-50 (2018). MSC: 22E65 17B65 14M15 PDF BibTeX XML Cite \textit{M. V. Ignatyev} and \textit{I. Penkov}, J. Math. Sci., New York 248, No. 3, 255--302 (2020; Zbl 1473.22016); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 147, 3--50 (2018) Full Text: DOI arXiv OpenURL
Cabau, Patrick; Pelletier, Fernand Projective and direct limits of Banach tensor structures. (English) Zbl 1448.58004 Differ. Geom. Dyn. Syst. 22, 42-86 (2020). Reviewer: Kaveh Eftekharinasab (Kyiv) MSC: 58B25 18A30 22E65 53C15 PDF BibTeX XML Cite \textit{P. Cabau} and \textit{F. Pelletier}, Differ. Geom. Dyn. Syst. 22, 42--86 (2020; Zbl 1448.58004) Full Text: arXiv Link OpenURL
Misra, Kailash C.; Pongprasert, Suchada \(D^{(1)}_6\)-geometric crystal at the spin node. (English) Zbl 1467.17017 Commun. Algebra 48, No. 8, 3382-3397 (2020). Reviewer: Michael Strayer (Hampden Sydney) MSC: 17B67 22E65 14M15 17B37 PDF BibTeX XML Cite \textit{K. C. Misra} and \textit{S. Pongprasert}, Commun. Algebra 48, No. 8, 3382--3397 (2020; Zbl 1467.17017) Full Text: DOI arXiv OpenURL
González, Nicolle S. Categorical Bernstein operators and the Boson-Fermion correspondence. (English) Zbl 1458.17013 Sel. Math., New Ser. 26, No. 4, Paper No. 51, 64 p. (2020). Reviewer: Shintaro Yanagida (Nagoya) MSC: 17B65 05E05 17B68 17B69 18G35 22E65 PDF BibTeX XML Cite \textit{N. S. González}, Sel. Math., New Ser. 26, No. 4, Paper No. 51, 64 p. (2020; Zbl 1458.17013) Full Text: DOI arXiv OpenURL
Freyn, Walter; Hartnick, Tobias; Horn, Max; Köhl, Ralf Kac-Moody symmetric spaces. (English) Zbl 07224322 Münster J. Math. 13, No. 1, 1-114 (2020). Reviewer: Pierre-Emmanuel Chaput (Nancy) MSC: 53C35 22E65 20G44 22F30 PDF BibTeX XML Cite \textit{W. Freyn} et al., Münster J. Math. 13, No. 1, 1--114 (2020; Zbl 07224322) Full Text: DOI arXiv OpenURL
Neeb, Karl-Hermann Book review of: A. Kosyak, Regular, quasi-regular and induced representations of infinite-dimensional groups. (English) Zbl 1435.00035 Jahresber. Dtsch. Math.-Ver. 122, No. 2, 131-136 (2020). MSC: 00A17 22-06 22E66 22E65 28C20 PDF BibTeX XML Cite \textit{K.-H. Neeb}, Jahresber. Dtsch. Math.-Ver. 122, No. 2, 131--136 (2020; Zbl 1435.00035) Full Text: DOI OpenURL
Carbone, Lisa; Feingold, Alex J.; Freyn, Walter A lightcone embedding of the twin building of a hyperbolic Kac-Moody group. (English) Zbl 07209358 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 045, 47 p. (2020). MSC: 20G44 20E42 20F05 22E65 51E24 20F67 PDF BibTeX XML Cite \textit{L. Carbone} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 045, 47 p. (2020; Zbl 07209358) Full Text: DOI arXiv OpenURL
Hofmann, Karl H.; Morris, Sidney A. The structure of compact groups. A primer for the student – a handbook for the expert. 4th revised and expanded edition. (English) Zbl 1441.22001 De Gruyter Studies in Mathematics 25. Berlin: De Gruyter (ISBN 978-3-11-069595-3/hbk; 978-3-11-069599-1/ebook). xxvii, 1006 p. (2020). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 22-02 22-01 22C05 22B05 22E15 22E65 54H11 PDF BibTeX XML Cite \textit{K. H. Hofmann} and \textit{S. A. Morris}, The structure of compact groups. A primer for the student -- a handbook for the expert. 4th revised and expanded edition. Berlin: De Gruyter (2020; Zbl 1441.22001) Full Text: DOI OpenURL
Neeb, Karl-Hermann A survey on invariant cones in infinite dimensional Lie algebras. (A survey on invariant cones ininfinite dimensional Lie algebras.) (English) Zbl 1440.22036 J. Lie Theory 30, No. 2, 513-564 (2020). MSC: 22E65 22E45 22-02 PDF BibTeX XML Cite \textit{K.-H. Neeb}, J. Lie Theory 30, No. 2, 513--564 (2020; Zbl 1440.22036) Full Text: arXiv Link OpenURL
Lawson, Jimmie A Banach algebra approach to Loos symmetric cones. (English) Zbl 1440.53063 J. Lie Theory 30, No. 2, 461-471 (2020). MSC: 53C35 47L10 22E65 PDF BibTeX XML Cite \textit{J. Lawson}, J. Lie Theory 30, No. 2, 461--471 (2020; Zbl 1440.53063) Full Text: Link OpenURL
Hofmann, Karl Heinrich; Kramer, Linus On weakly complete group algebras of compact groups. (English) Zbl 1442.22011 J. Lie Theory 30, No. 2, 407-424 (2020). MSC: 22E15 22E65 PDF BibTeX XML Cite \textit{K. H. Hofmann} and \textit{L. Kramer}, J. Lie Theory 30, No. 2, 407--424 (2020; Zbl 1442.22011) Full Text: arXiv Link OpenURL
Hanusch, Maximilian The strong Trotter property for locally \(\mu \)-convex Lie groups. (English) Zbl 1440.22035 J. Lie Theory 30, No. 1, 25-32 (2020). MSC: 22E65 PDF BibTeX XML Cite \textit{M. Hanusch}, J. Lie Theory 30, No. 1, 25--32 (2020; Zbl 1440.22035) Full Text: arXiv Link OpenURL
Rubio, Roberto; Tipler, Carl The Lie group of automorphisms of a Courant algebroid and the moduli space of generalized metrics. (English) Zbl 1448.53081 Rev. Mat. Iberoam. 36, No. 2, 485-536 (2020). Reviewer: Roman Golovko (Praha) MSC: 53D18 22E65 58D05 PDF BibTeX XML Cite \textit{R. Rubio} and \textit{C. Tipler}, Rev. Mat. Iberoam. 36, No. 2, 485--536 (2020; Zbl 1448.53081) Full Text: DOI arXiv OpenURL
Schmeding, Alexander The Lie group of vertical bisections of a regular Lie groupoid. (English) Zbl 1453.22008 Forum Math. 32, No. 2, 479-489 (2020). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 22E65 22A22 58D15 58H05 PDF BibTeX XML Cite \textit{A. Schmeding}, Forum Math. 32, No. 2, 479--489 (2020; Zbl 1453.22008) Full Text: DOI arXiv OpenURL
Penna, Robert SDiff \((S^2)\) and the orbit method. (English) Zbl 1434.58003 J. Math. Phys. 61, No. 1, 012301, 9 p. (2020). MSC: 58D05 22E65 22E66 17B08 83C57 PDF BibTeX XML Cite \textit{R. Penna}, J. Math. Phys. 61, No. 1, 012301, 9 p. (2020; Zbl 1434.58003) Full Text: DOI arXiv OpenURL
Hubicska, Balázs; Muzsnay, Zoltán Tangent Lie algebra of a diffeomorphism group and application to holonomy theory. (English) Zbl 1433.22010 J. Geom. Anal. 30, No. 1, 107-123 (2020). MSC: 22E65 17B66 53C29 53B40 PDF BibTeX XML Cite \textit{B. Hubicska} and \textit{Z. Muzsnay}, J. Geom. Anal. 30, No. 1, 107--123 (2020; Zbl 1433.22010) Full Text: DOI arXiv OpenURL
Hanusch, Maximilian The regularity problem for Lie groups with asymptotic estimate Lie algebras. (English) Zbl 07152841 Indag. Math., New Ser. 31, No. 1, 152-176 (2020). MSC: 22E65 PDF BibTeX XML Cite \textit{M. Hanusch}, Indag. Math., New Ser. 31, No. 1, 152--176 (2020; Zbl 07152841) Full Text: DOI arXiv OpenURL
Tchuiaga, Stéphane \(C^0\)-symplectic geometry under displacements. (English) Zbl 07473489 J. Dyn. Syst. Geom. Theor. 17, No. 1, 109-129 (2019). MSC: 22E65 51H20 53D35 57R52 57S05 PDF BibTeX XML Cite \textit{S. Tchuiaga}, J. Dyn. Syst. Geom. Theor. 17, No. 1, 109--129 (2019; Zbl 07473489) Full Text: DOI OpenURL
Larotonda, Gabriel Functional analysis techniques in optimization and metrization problems. (English) Zbl 1442.22021 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 234-239 (2019). MSC: 22E65 15A42 22E30 51K05 53C25 15A60 PDF BibTeX XML Cite \textit{G. Larotonda}, in: Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1--7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. 234--239 (2019; Zbl 1442.22021) Full Text: DOI OpenURL
Larotonda, Gabriel Short geodesics for Ad invariant metrics in locally exponential Lie groups. (English) Zbl 1436.22015 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 153-160 (2019). MSC: 22E65 58B20 53C22 47B10 58D05 PDF BibTeX XML Cite \textit{G. Larotonda}, in: Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1--7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. 153--160 (2019; Zbl 1436.22015) Full Text: DOI OpenURL
Amiri, Habib; Schmeding, Alexander A differentiable monoid of smooth maps on Lie groupoids. (English) Zbl 1436.58015 J. Lie Theory 29, No. 4, 1167-1192 (2019). MSC: 58H05 22A15 22A22 22E65 58B25 58D05 58D15 PDF BibTeX XML Cite \textit{H. Amiri} and \textit{A. Schmeding}, J. Lie Theory 29, No. 4, 1167--1192 (2019; Zbl 1436.58015) Full Text: arXiv Link OpenURL
Cabau, Patrick; Pelletier, Fernand Integrability on direct limits of Banach manifolds. (English. French summary) Zbl 1446.58002 Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 5, 909-956 (2019). Reviewer: Luen-Chau Li (University Park) MSC: 58A30 18A30 46T05 17B66 37K30 22E65 PDF BibTeX XML Cite \textit{P. Cabau} and \textit{F. Pelletier}, Ann. Fac. Sci. Toulouse, Math. (6) 28, No. 5, 909--956 (2019; Zbl 1446.58002) Full Text: DOI arXiv OpenURL
Carmeli, Claudio; Fioresi, Rita; Varadarajan, V. S. The exponential of nilpotent supergroups in the theory of Harish-Chandra representations. (English) Zbl 1458.17008 Nielsen, Frank (ed.) et al., Geometric science of information. 4th international conference, GSI 2019, Toulouse, France, August 27–29, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11712, 188-195 (2019). MSC: 17B30 14M30 22E65 58A50 PDF BibTeX XML Cite \textit{C. Carmeli} et al., Lect. Notes Comput. Sci. 11712, 188--195 (2019; Zbl 1458.17008) Full Text: DOI Link OpenURL
Isidro, José M. Jordan triple systems in complex and functional analysis. (English) Zbl 1447.46002 Mathematical Surveys and Monographs 243. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5083-0/hbk; 978-1-4704-5440-1/ebook). xiii, 560 p. (2019). Reviewer: Dirk Werner (Berlin) MSC: 46-02 46G20 46L70 58B12 53C35 32M15 17C65 57S20 22E65 17B65 46B04 58B25 PDF BibTeX XML Cite \textit{J. M. Isidro}, Jordan triple systems in complex and functional analysis. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1447.46002) Full Text: DOI OpenURL
Sergeev, A. On Kähler geometry of infinite-dimensional complex manifolds \(\operatorname{Diff}_+(S^1)/S^1\) and \(\operatorname{Diff}_+(S^1)/\text{Möb}(S^1)\). (English) Zbl 1431.58003 Lobachevskii J. Math. 40, No. 9, 1410-1416 (2019). MSC: 58B25 32Q15 58D05 22E65 53C55 PDF BibTeX XML Cite \textit{A. Sergeev}, Lobachevskii J. Math. 40, No. 9, 1410--1416 (2019; Zbl 1431.58003) Full Text: DOI OpenURL
Sala, Francesco; Schiffmann, Olivier The circle quantum group and the infinite root stack of a curve. (English) Zbl 1473.17043 Sel. Math., New Ser. 25, No. 5, Paper No. 77, 86 p. (2019). MSC: 17B37 17B67 22E65 14A20 PDF BibTeX XML Cite \textit{F. Sala} and \textit{O. Schiffmann}, Sel. Math., New Ser. 25, No. 5, Paper No. 77, 86 p. (2019; Zbl 1473.17043) Full Text: DOI arXiv OpenURL
Andruchow, Esteban; Corach, Gustavo; Recht, Lázaro The Poincaré half-space of a \({C}^*\)-algebra. (English) Zbl 1442.46038 Rev. Mat. Iberoam. 35, No. 7, 2187-2219 (2019). Reviewer: Ralf Meyer (Göttingen) MSC: 46L05 58B20 53C30 22E65 46L08 PDF BibTeX XML Cite \textit{E. Andruchow} et al., Rev. Mat. Iberoam. 35, No. 7, 2187--2219 (2019; Zbl 1442.46038) Full Text: DOI arXiv OpenURL
Larotonda, Gabriel Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces. (English) Zbl 1430.22026 Forum Math. 31, No. 6, 1567-1605 (2019). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 22E65 58B20 53C22 47B10 58D05 PDF BibTeX XML Cite \textit{G. Larotonda}, Forum Math. 31, No. 6, 1567--1605 (2019; Zbl 1430.22026) Full Text: DOI arXiv Link OpenURL
Bufetov, Alexey; Gorin, Vadim Fourier transform on high-dimensional unitary groups with applications to random tilings. (English) Zbl 1436.60016 Duke Math. J. 168, No. 13, 2559-2649 (2019). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 60B15 22E65 60K35 PDF BibTeX XML Cite \textit{A. Bufetov} and \textit{V. Gorin}, Duke Math. J. 168, No. 13, 2559--2649 (2019; Zbl 1436.60016) Full Text: DOI arXiv Euclid OpenURL
Hanusch, Maximilian Differentiability of the evolution map and Mackey continuity. (English) Zbl 1430.22025 Forum Math. 31, No. 5, 1139-1177 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 58B25 22E10 58C20 PDF BibTeX XML Cite \textit{M. Hanusch}, Forum Math. 31, No. 5, 1139--1177 (2019; Zbl 1430.22025) Full Text: DOI arXiv OpenURL
Andruchow, Esteban; Chiumiento, Eduardo; Larotonda, Gabriel Canonical sphere bundles of the Grassmann manifold. (English) Zbl 1432.22023 Geom. Dedicata 203, 179-203 (2019). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 22E65 47B10 58B20 PDF BibTeX XML Cite \textit{E. Andruchow} et al., Geom. Dedicata 203, 179--203 (2019; Zbl 1432.22023) Full Text: DOI arXiv OpenURL
Azam, Saeid; Parsa, Amir Farahmand Groups of extended affine Lie type. (English) Zbl 1471.17044 Publ. Res. Inst. Math. Sci. 55, No. 3, 627-649 (2019). Reviewer: Le Anh Vu (Ho Chi Minh City) MSC: 17B67 17B65 19C99 20G44 22E65 PDF BibTeX XML Cite \textit{S. Azam} and \textit{A. F. Parsa}, Publ. Res. Inst. Math. Sci. 55, No. 3, 627--649 (2019; Zbl 1471.17044) Full Text: DOI arXiv OpenURL
Beltiţă, Daniel; Pelletier, Fernand; Zergane, Amel On the smoothness of some quotients of Banach-Lie groups. (English) Zbl 1427.22020 Differ. Geom. Appl. 67, Article ID 101556, 22 p. (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22A10 58B10 58B25 PDF BibTeX XML Cite \textit{D. Beltiţă} et al., Differ. Geom. Appl. 67, Article ID 101556, 22 p. (2019; Zbl 1427.22020) Full Text: DOI OpenURL
Dahmen, Rafael; Hofmann, Karl Heinrich The pro-Lie group aspect of weakly complete algebras and weakly complete group Hopf algebras. (English) Zbl 1419.22007 J. Lie Theory 29, No. 2, 413-455 (2019). MSC: 22E15 22E65 22E99 PDF BibTeX XML Cite \textit{R. Dahmen} and \textit{K. H. Hofmann}, J. Lie Theory 29, No. 2, 413--455 (2019; Zbl 1419.22007) Full Text: arXiv Link OpenURL
Janssens, Bas; Neeb, Karl-Hermann Projective unitary representations of infinite-dimensional Lie groups. (English) Zbl 1480.22010 Kyoto J. Math. 59, No. 2, 293-341 (2019). Reviewer: Dongwen Liu (Zhejiang) MSC: 22E65 22E66 22E67 17B15 17B56 17B65 17B67 17B68 22E45 22E60 PDF BibTeX XML Cite \textit{B. Janssens} and \textit{K.-H. Neeb}, Kyoto J. Math. 59, No. 2, 293--341 (2019; Zbl 1480.22010) Full Text: DOI arXiv Euclid OpenURL
Larrain-Hubach, Andres; Pickrell, Doug Maps from a surface into a compact Lie group and curvature. (English) Zbl 1417.22013 Lett. Math. Phys. 109, No. 5, 1257-1267 (2019). Reviewer: Peter B. Gilkey (Eugene) MSC: 22E65 22E70 PDF BibTeX XML Cite \textit{A. Larrain-Hubach} and \textit{D. Pickrell}, Lett. Math. Phys. 109, No. 5, 1257--1267 (2019; Zbl 1417.22013) Full Text: DOI arXiv OpenURL
Diez, Tobias; Rudolph, Gerd Slice theorem and orbit type stratification in infinite dimensions. (English) Zbl 1417.58002 Differ. Geom. Appl. 65, 176-211 (2019). MSC: 58B25 58D19 58B20 58A35 22E65 PDF BibTeX XML Cite \textit{T. Diez} and \textit{G. Rudolph}, Differ. Geom. Appl. 65, 176--211 (2019; Zbl 1417.58002) Full Text: DOI arXiv OpenURL
Walter, Boris Weighted diffeomorphism groups of Riemannian manifolds. (English) Zbl 1453.58004 Indag. Math., New Ser. 30, No. 4, 669-705 (2019). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D05 57S05 22E65 58D15 58B10 PDF BibTeX XML Cite \textit{B. Walter}, Indag. Math., New Ser. 30, No. 4, 669--705 (2019; Zbl 1453.58004) Full Text: DOI arXiv OpenURL
Amiri, Habib; Schmeding, Alexander Linking Lie groupoid representations and representations of infinite-dimensional Lie groups. (English) Zbl 1416.22022 Ann. Global Anal. Geom. 55, No. 4, 749-775 (2019). Reviewer: Marta Macho Stadler (Leioa) MSC: 22E66 22E65 22A22 58D15 PDF BibTeX XML Cite \textit{H. Amiri} and \textit{A. Schmeding}, Ann. Global Anal. Geom. 55, No. 4, 749--775 (2019; Zbl 1416.22022) Full Text: DOI arXiv OpenURL
Günaydin, Murat; Volin, Dmytro The complete unitary dual of non-compact Lie superalgebra \(\mathfrak{su}(p,q|m)\) via the generalised oscillator formalism, and non-compact Young diagrams. (English) Zbl 1464.17013 Commun. Math. Phys. 367, No. 3, 873-939 (2019). MSC: 17B10 17B81 22E65 22E70 PDF BibTeX XML Cite \textit{M. Günaydin} and \textit{D. Volin}, Commun. Math. Phys. 367, No. 3, 873--939 (2019; Zbl 1464.17013) Full Text: DOI arXiv OpenURL
Futorny, Vyacheslav; Křižka, Libor; Somberg, Petr Geometric realizations of affine Kac-Moody algebras. (English) Zbl 1423.22020 J. Algebra 528, 177-216 (2019). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 22E67 22E70 22E65 17B67 PDF BibTeX XML Cite \textit{V. Futorny} et al., J. Algebra 528, 177--216 (2019; Zbl 1423.22020) Full Text: DOI arXiv OpenURL
Dahmen, Rafael; Hofmann, Karl H. On the component factor group \(G/G_{0}\) of a pro-Lie group \(G\). (English) Zbl 1412.22002 J. Lie Theory 29, No. 1, 221-225 (2019). MSC: 22A05 22E15 22E65 22E99 PDF BibTeX XML Cite \textit{R. Dahmen} and \textit{K. H. Hofmann}, J. Lie Theory 29, No. 1, 221--225 (2019; Zbl 1412.22002) Full Text: arXiv Link OpenURL
Henriques, André Loop groups and diffeomorphism groups of the circle as colimits. (English) Zbl 1460.58007 Commun. Math. Phys. 366, No. 2, 537-565 (2019). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D05 22E65 22E66 81R10 57S05 PDF BibTeX XML Cite \textit{A. Henriques}, Commun. Math. Phys. 366, No. 2, 537--565 (2019; Zbl 1460.58007) Full Text: DOI arXiv OpenURL
Pelletier, Fernand; Cabau, Patrick Convenient partial Poisson manifolds. (English) Zbl 1414.53074 J. Geom. Phys. 136, 173-194 (2019). Reviewer: Andrew Bruce (Warszawa) MSC: 53D17 18A30 46T05 17B66 37K30 22E65 PDF BibTeX XML Cite \textit{F. Pelletier} and \textit{P. Cabau}, J. Geom. Phys. 136, 173--194 (2019; Zbl 1414.53074) Full Text: DOI arXiv OpenURL
Glöckner, Helge Completeness of infinite-dimensional Lie groups in their left uniformity. (English) Zbl 1409.22016 Can. J. Math. 71, No. 1, 131-152 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22A05 22E67 46A13 46M40 58D05 PDF BibTeX XML Cite \textit{H. Glöckner}, Can. J. Math. 71, No. 1, 131--152 (2019; Zbl 1409.22016) Full Text: DOI arXiv OpenURL
Kosyak, Alexander Criteria of irreducibility of the Koopman representations for the group \(\mathrm{GL}_0(2\infty,\mathbb R)\). (English) Zbl 1403.22020 J. Funct. Anal. 276, No. 1, 78-126 (2019). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 28C20 43A80 58D20 PDF BibTeX XML Cite \textit{A. Kosyak}, J. Funct. Anal. 276, No. 1, 78--126 (2019; Zbl 1403.22020) Full Text: DOI arXiv OpenURL
Bogfjellmo, Geir; Schmeding, Alexander The geometry of characters of Hopf algebras. (English) Zbl 1450.16021 Celledoni, Elena (ed.) et al., Computation and combinatorics in dynamics, stochastics and control. The Abel symposium, Rosendal, Norway, August 16–19, 2016. Selected papers. Cham: Springer. Abel Symp. 13, 159-185 (2018). MSC: 16T05 22E65 PDF BibTeX XML Cite \textit{G. Bogfjellmo} and \textit{A. Schmeding}, Abel Symp. 13, 159--185 (2018; Zbl 1450.16021) Full Text: DOI arXiv OpenURL
Ishida, Tomohiko Quasi-isometry type of the metric space derived from the kernel of the Calabi homomorphism. (English) Zbl 1447.58011 J. Symplectic Geom. 16, No. 4, 1041-1050 (2018). Reviewer: Héctor Barge (Madrid) MSC: 58D05 22E65 53D05 PDF BibTeX XML Cite \textit{T. Ishida}, J. Symplectic Geom. 16, No. 4, 1041--1050 (2018; Zbl 1447.58011) Full Text: DOI arXiv OpenURL
Basor, Estelle; Pickrell, Doug Loops in \(\mathrm{SL}(2, \mathbb C)\) and root subgroup factorization. (English) Zbl 1402.22022 Random Matrices Theory Appl. 7, No. 3, Article ID 1850008, 26 p. (2018). Reviewer: Dongwen Liu (Zhejiang) MSC: 22E67 22E65 47B35 PDF BibTeX XML Cite \textit{E. Basor} and \textit{D. Pickrell}, Random Matrices Theory Appl. 7, No. 3, Article ID 1850008, 26 p. (2018; Zbl 1402.22022) Full Text: DOI arXiv OpenURL
Romanova, E. M. On geodesic curves on quotient manifold of nondegenerate affinor fields. (English. Russian original) Zbl 1411.22002 Russ. Math. 62, No. 8, 43-50 (2018); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 8, 52-60 (2018). Reviewer: Alexander Schmeding (Berlin) MSC: 22E65 53B15 PDF BibTeX XML Cite \textit{E. M. Romanova}, Russ. Math. 62, No. 8, 43--50 (2018; Zbl 1411.22002); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2018, No. 8, 52--60 (2018) Full Text: DOI OpenURL
Vershik, A. M.; Graev, M. I. Nonunitary representations of the groups of \(U(p, q)\)-currents for \(q\geq p > 1\). (English. Russian original) Zbl 1397.22017 J. Math. Sci., New York 232, No. 2, 99-120 (2018); translation from Zap. Nauchn. Semin. POMI 462, 5-38 (2017). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 22E65 22E46 22D30 PDF BibTeX XML Cite \textit{A. M. Vershik} and \textit{M. I. Graev}, J. Math. Sci., New York 232, No. 2, 99--120 (2018; Zbl 1397.22017); translation from Zap. Nauchn. Semin. POMI 462, 5--38 (2017) Full Text: DOI arXiv OpenURL
Mizukawa, Hiroshi Interactions between Ehrenfest’s urns arising from group actions. (English) Zbl 1410.60014 Lett. Math. Phys. 108, No. 7, 1717-1728 (2018). MSC: 60C05 05E05 60B15 22E65 PDF BibTeX XML Cite \textit{H. Mizukawa}, Lett. Math. Phys. 108, No. 7, 1717--1728 (2018; Zbl 1410.60014) Full Text: DOI arXiv OpenURL
Platonov, Sergei S. Certain approximation problems for functions on the infinite-dimensional torus: Lipschitz spaces. (English. Russian original) Zbl 1395.22011 Izv. Math. 82, No. 1, 186-211 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 1, 198-224 (2018). Reviewer: Yuri A. Farkov (Moscow) MSC: 22E65 41A17 41A25 42A10 43A75 PDF BibTeX XML Cite \textit{S. S. Platonov}, Izv. Math. 82, No. 1, 186--211 (2018; Zbl 1395.22011); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 1, 198--224 (2018) Full Text: DOI OpenURL
Kosyak, Alexander V. Regular, quasi-regular and induced representations of infinite-dimensional groups. (English) Zbl 1394.22001 EMS Tracts in Mathematics 29. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-181-1/hbk; 978-3-03719-681-6/ebook). xxxii, 555 p. (2018). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22-06 22E66 22E65 28C20 PDF BibTeX XML Cite \textit{A. V. Kosyak}, Regular, quasi-regular and induced representations of infinite-dimensional groups. Zürich: European Mathematical Society (EMS) (2018; Zbl 1394.22001) Full Text: DOI OpenURL
Magnot, Jean-Pierre The group of diffeomorphisms of a non-compact manifold is not regular. (English) Zbl 1387.22019 Demonstr. Math. 51, 8-16 (2018). MSC: 22E65 22E66 PDF BibTeX XML Cite \textit{J.-P. Magnot}, Demonstr. Math. 51, 8--16 (2018; Zbl 1387.22019) Full Text: DOI arXiv OpenURL
Odzijewicz, Anatol; Jakimowicz, Grzegorz; Sliżewska, Aneta Fiber-wise linear Poisson structures related to \(W^\ast\)-algebras. (English) Zbl 06820401 J. Geom. Phys. 123, 385-423 (2018). MSC: 47C15 22A22 22E65 58B25 58H05 PDF BibTeX XML Cite \textit{A. Odzijewicz} et al., J. Geom. Phys. 123, 385--423 (2018; Zbl 06820401) Full Text: DOI arXiv OpenURL
Beltiţă, Daniel; Galé, José E. Infinitesimal aspects of idempotents in Banach algebras. (English) Zbl 1449.46036 Jaming, Philippe (ed.) et al., Harmonic analysis, function theory, operator theory, and their applications. Proceedings of the international conference in honour of Jean Esterle, Bordeaux, France, June 1–4, 2015. Editor list corrected in erratum. Bucharest: The Theta Foundation. Theta Ser. Adv. Math. 19, 43-69 (2017). Reviewer: Cătălin Badea (Villeneuve d’Ascq) MSC: 46H05 22F30 22E65 46M20 PDF BibTeX XML Cite \textit{D. Beltiţă} and \textit{J. E. Galé}, Theta Ser. Adv. Math. 19, 43--69 (2017; Zbl 1449.46036) Full Text: arXiv OpenURL
Jaffe, Arthur (ed.); Neeb, Karl-Hermann (ed.); Olafsson, Gestur (ed.); Schlein, Benjamin (ed.) Reflection positivity. Abstracts from the workshop held November 26 – December 2, 2017. (English) Zbl 1409.00095 Oberwolfach Rep. 14, No. 4, 3263-3343 (2017). MSC: 00B05 00B25 17B10 22E65 22E70 81T08 22-06 17-06 PDF BibTeX XML Cite \textit{A. Jaffe} (ed.) et al., Oberwolfach Rep. 14, No. 4, 3263--3343 (2017; Zbl 1409.00095) Full Text: DOI OpenURL
Fresse, Lucas; Penkov, Ivan Orbit duality in ind-varieties of maximal generalized flags. (English. Russian original) Zbl 1401.14199 Trans. Mosc. Math. Soc. 2017, 131-160 (2017); translation from Tr. Mosk. Mat. O.-va 78, No. 1, 155-194 (2017). MSC: 14L30 14M15 22E65 22F30 PDF BibTeX XML Cite \textit{L. Fresse} and \textit{I. Penkov}, Trans. Mosc. Math. Soc. 2017, 131--160 (2017; Zbl 1401.14199); translation from Tr. Mosk. Mat. O.-va 78, No. 1, 155--194 (2017) Full Text: DOI arXiv OpenURL
Sheinman, O. K. Matrix divisors on Riemann surfaces and Lax operator algebras. (English. Russian original) Zbl 1437.14042 Trans. Mosc. Math. Soc. 2017, 109-121 (2017); translation from Tr. Mosk. Mat. O.-va 78, No. 1, 129-144 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H60 14H70 17B65 22E65 PDF BibTeX XML Cite \textit{O. K. Sheinman}, Trans. Mosc. Math. Soc. 2017, 109--121 (2017; Zbl 1437.14042); translation from Tr. Mosk. Mat. O.-va 78, No. 1, 129--144 (2017) Full Text: DOI arXiv OpenURL
Hristova, Elitza; Penkov, Ivan Decomposition of cohomology of vector bundles on homogeneous ind-spaces. (English) Zbl 1399.22017 C. R. Acad. Bulg. Sci. 70, No. 7, 907-916 (2017). Reviewer: Ivan D. Chipchakov (Sofia) MSC: 22E65 17B65 20G05 55N30 18G05 PDF BibTeX XML Cite \textit{E. Hristova} and \textit{I. Penkov}, C. R. Acad. Bulg. Sci. 70, No. 7, 907--916 (2017; Zbl 1399.22017) Full Text: arXiv OpenURL
Nikitin, Natalie Differentiability along one-parameter subgroups compared to differentiability on Lie groups as manifolds. (English) Zbl 1431.22022 Fialowski, Alice (ed.) et al., 50th Seminar “Sophus Lie”, Będlewo, Poland, September 26 – October 1, 2016. Dedicated to Professor Karl Heinrich Hofmann on the occasion of his 85th birthday. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 113, 363-373 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22A10 26E15 46E50 PDF BibTeX XML Cite \textit{N. Nikitin}, Banach Cent. Publ. 113, 363--373 (2017; Zbl 1431.22022) Full Text: DOI OpenURL
Bertram, Wolfgang Lie calculus. (English) Zbl 1431.18006 Fialowski, Alice (ed.) et al., 50th Seminar “Sophus Lie”, Będlewo, Poland, September 26 – October 1, 2016. Dedicated to Professor Karl Heinrich Hofmann on the occasion of his 85th birthday. Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 113, 59-85 (2017). MSC: 18F15 20L05 22E65 39A12 58C20 97I40 PDF BibTeX XML Cite \textit{W. Bertram}, Banach Cent. Publ. 113, 59--85 (2017; Zbl 1431.18006) Full Text: DOI arXiv OpenURL
Wolf, Joseph A. Stepwise square integrability for nilradicals of parabolic subgroups and maximal amenable subgroups. (English) Zbl 1396.22005 J. Lie Theory 27, No. 3, 845-886 (2017). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 22E25 22E45 22E65 22E66 PDF BibTeX XML Cite \textit{J. A. Wolf}, J. Lie Theory 27, No. 3, 845--886 (2017; Zbl 1396.22005) Full Text: arXiv Link OpenURL
Andruchow, Esteban Geometry of the projective unitary group of a \(C^*\)-algebra. (English) Zbl 1388.46044 Rev. Unión Mat. Argent. 58, No. 2, 319-329 (2017). MSC: 46L05 58B20 46L10 22E65 PDF BibTeX XML Cite \textit{E. Andruchow}, Rev. Unión Mat. Argent. 58, No. 2, 319--329 (2017; Zbl 1388.46044) Full Text: Link OpenURL
Marquis, Timothée; Neeb, Karl-Hermann Positive energy representations of double extensions of Hilbert loop algebras. (English) Zbl 1430.17026 J. Math. Soc. Japan 69, No. 4, 1485-1518 (2017). MSC: 17B10 17B65 17B70 22E65 PDF BibTeX XML Cite \textit{T. Marquis} and \textit{K.-H. Neeb}, J. Math. Soc. Japan 69, No. 4, 1485--1518 (2017; Zbl 1430.17026) Full Text: DOI arXiv Euclid OpenURL
Pianzola, Arturo; Prelat, Daniel; Sepp, Claudia Standard cocycles: variations on themes of C. Kassel’s and R. Wilson’s. (English) Zbl 1432.17017 Forum Math. 29, No. 6, 1441-1461 (2017). MSC: 17B55 17B67 17B01 22E65 PDF BibTeX XML Cite \textit{A. Pianzola} et al., Forum Math. 29, No. 6, 1441--1461 (2017; Zbl 1432.17017) Full Text: DOI OpenURL
Gordina, Maria An application of a functional inequality to quasi-invariance in infinite dimensions. (English) Zbl 1384.39016 Carlen, Eric (ed.) et al., Convexity and concentration. New York, NY: Springer (ISBN 978-1-4939-7004-9/hbk; 978-1-4939-7005-6/ebook). The IMA Volumes in Mathematics and its Applications 161, 251-266 (2017). Reviewer: Tomasz Zgraja (Bielsko-Biała) MSC: 39B62 22E65 22E30 22E45 60B15 60H05 PDF BibTeX XML Cite \textit{M. Gordina}, IMA Vol. Math. Appl. 161, 251--266 (2017; Zbl 1384.39016) Full Text: DOI arXiv OpenURL
Chu, Cho-Ho Infinite dimensional Jordan algebras and symmetric cones. (English) Zbl 1420.17033 J. Algebra 491, 357-371 (2017). MSC: 17C65 22E65 46B40 46H70 PDF BibTeX XML Cite \textit{C.-H. Chu}, J. Algebra 491, 357--371 (2017; Zbl 1420.17033) Full Text: DOI arXiv OpenURL
Glöckner, Helge Completeness of locally \(k_{\omega}\)-groups and related infinite-dimensional Lie groups. (English) Zbl 1375.22012 Topology Appl. 228, 277-284 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22A05 46A13 46M40 58D05 PDF BibTeX XML Cite \textit{H. Glöckner}, Topology Appl. 228, 277--284 (2017; Zbl 1375.22012) Full Text: DOI arXiv OpenURL
Zellner, Christoph On the existence of regular vectors. (English) Zbl 1373.22031 Krause, Henning (ed.) et al., Representation theory – Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-171-2/hbk; 978-3-03719-671-7/ebook). EMS Series of Congress Reports, 749-763 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22E45 PDF BibTeX XML Cite \textit{C. Zellner}, in: Representation theory -- Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zürich: European Mathematical Society (EMS). 749--763 (2017; Zbl 1373.22031) Full Text: arXiv OpenURL
Neeb, Karl-Hermann Bounded and semibounded representations of infinite dimensional Lie groups. (English) Zbl 1373.22030 Krause, Henning (ed.) et al., Representation theory – Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-171-2/hbk; 978-3-03719-671-7/ebook). EMS Series of Congress Reports, 541-563 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22E45 PDF BibTeX XML Cite \textit{K.-H. Neeb}, in: Representation theory -- Current trends and perspectives. In part based on talks given at the last joint meeting of the priority program in Bad Honnef, Germany, in March 2015. Zürich: European Mathematical Society (EMS). 541--563 (2017; Zbl 1373.22030) Full Text: arXiv OpenURL
McClellan, Gene E. Application of geometric algebra to the electroweak sector of the standard model of particle physics. (English) Zbl 1373.82049 Adv. Appl. Clifford Algebr. 27, No. 1, 761-786 (2017). Reviewer: Eugene Postnikov (Kursk) MSC: 82C21 35Q41 17B81 81V35 22E65 PDF BibTeX XML Cite \textit{G. E. McClellan}, Adv. Appl. Clifford Algebr. 27, No. 1, 761--786 (2017; Zbl 1373.82049) Full Text: DOI OpenURL
Neeb, Karl-Hermann; Salmasian, Hadi; Zellner, Christoph Smoothing operators and \(C^\ast\)-algebras for infinite dimensional Lie groups. (English) Zbl 1368.22013 Int. J. Math. 28, No. 5, Article ID 1750042, 32 p. (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22E45 PDF BibTeX XML Cite \textit{K.-H. Neeb} et al., Int. J. Math. 28, No. 5, Article ID 1750042, 32 p. (2017; Zbl 1368.22013) Full Text: DOI arXiv OpenURL
Plaza Martín, Francisco J.; Tejero Prieto, Carlos Virasoro and KdV. (English) Zbl 1373.14057 Lett. Math. Phys. 107, No. 5, 963-994 (2017). Reviewer: Zain Shaikh (Paderborn) MSC: 14N35 17B68 22E65 81T40 PDF BibTeX XML Cite \textit{F. J. Plaza Martín} and \textit{C. Tejero Prieto}, Lett. Math. Phys. 107, No. 5, 963--994 (2017; Zbl 1373.14057) Full Text: DOI arXiv OpenURL
Grieve, Nathan Comments related to infinite wedge representations. (English. French summary) Zbl 1364.05079 C. R. Math. Acad. Sci., Soc. R. Can. 39, No. 1, 13-35 (2017). MSC: 05E05 37K10 17B66 22E65 81R10 PDF BibTeX XML Cite \textit{N. Grieve}, C. R. Math. Acad. Sci., Soc. R. Can. 39, No. 1, 13--35 (2017; Zbl 1364.05079) Full Text: arXiv OpenURL