Neeb, Karl-Hermann Semigroups in \(3\)-graded Lie groups and endomorphisms of standard subspaces. (English) Zbl 1521.22011 Kyoto J. Math. 62, No. 3, 577-613 (2022). MSC: 22E45 81R05 81T05 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Kyoto J. Math. 62, No. 3, 577--613 (2022; Zbl 1521.22011) Full Text: DOI arXiv
Neeb, Karl-Hermann; Ólafsson, Gestur Nets of standard subspaces on Lie groups. (English) Zbl 1487.22015 Adv. Math. 384, Article ID 107715, 69 p. (2021). MSC: 22E45 81R05 81T05 PDFBibTeX XMLCite \textit{K.-H. Neeb} and \textit{G. Ólafsson}, Adv. Math. 384, Article ID 107715, 69 p. (2021; Zbl 1487.22015) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{K.-H. Neeb}, J. Lie Theory 30, No. 2, 513--564 (2020; Zbl 1440.22036) Full Text: arXiv Link
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 PDFBibTeX XMLCite \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
Neeb, Karl-Hermann On the geometry of standard subspaces. (English) Zbl 1406.22015 Christensen, Jens Gerlach (ed.) et al., Representation theory and harmonic analysis on symmetric spaces. AMS special session on harmonic analysis, in honor of Gestur Ólafsson’s 65th birthday, Atlanta, GA, USA, January 4, 2017. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-4070-1/pbk; 978-1-4704-4884-4/ebook). Contemporary Mathematics 714, 199-223 (2018). Reviewer: Jacques Faraut (Paris) MSC: 22E45 81R05 81T05 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Contemp. Math. 714, 199--223 (2018; Zbl 1406.22015) Full Text: DOI arXiv
Glöckner, Helge; Neeb, Karl-Hermann Diffeomorphism groups of compact convex sets. (English) Zbl 1372.58008 Indag. Math., New Ser. 28, No. 4, 760-783 (2017). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 58D05 22E55 52A20 PDFBibTeX XMLCite \textit{H. Glöckner} and \textit{K.-H. Neeb}, Indag. Math., New Ser. 28, No. 4, 760--783 (2017; Zbl 1372.58008) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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
Neeb, Karl-Hermann; Salmasian, Hadi; Zellner, Christoph On an invariance property of the space of smooth vectors. (English) Zbl 1325.22012 Kyoto J. Math. 55, No. 3, 501-515 (2015). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22E45 20G05 17B65 PDFBibTeX XMLCite \textit{K.-H. Neeb} et al., Kyoto J. Math. 55, No. 3, 501--515 (2015; Zbl 1325.22012) Full Text: DOI arXiv Euclid
Neeb, Karl-Hermann; Ólafsson, Gestur Reflection positive one-parameter groups and dilations. (English) Zbl 1322.43002 Complex Anal. Oper. Theory 9, No. 3, 653-721 (2015). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 43A07 22E45 46L10 PDFBibTeX XMLCite \textit{K.-H. Neeb} and \textit{G. Ólafsson}, Complex Anal. Oper. Theory 9, No. 3, 653--721 (2015; Zbl 1322.43002) Full Text: DOI arXiv
Neeb, Karl-Hermann Unitary representations of unitary groups. (English) Zbl 1317.22012 Mason, Geoffrey (ed.) et al., Developments and retrospectives in Lie theory. Geometric and analytic methods. Retrospective selected papers based on the presentations at the seminar “Lie groups, Lie algebras and their representations”, 1991–2014. Cham: Springer (ISBN 978-3-319-09933-0/hbk; 978-3-319-09934-7/ebook). Developments in Mathematics 37, 197-243 (2014). MSC: 22E65 22E45 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Dev. Math. 37, 197--243 (2014; Zbl 1317.22012) Full Text: DOI arXiv
Neeb, K. H. Semibounded unitary representations of double extensions of Hilbert-loop groups. (Représentations unitaires délimitèes ci-dessous de double-extensions des groupes de lacettes hilbertiens.) (English. French summary) Zbl 1315.22024 Ann. Inst. Fourier 64, No. 5, 1823-1892 (2014). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 22E65 22E45 22E66 22E67 81R10 PDFBibTeX XMLCite \textit{K. H. Neeb}, Ann. Inst. Fourier 64, No. 5, 1823--1892 (2014; Zbl 1315.22024) Full Text: DOI arXiv
Neeb, Karl-Hermann; Ólafsson, Gestur Reflection positivity and conformal symmetry. (English) Zbl 1290.22006 J. Funct. Anal. 266, No. 4, 2174-2224 (2014). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E45 22E66 PDFBibTeX XMLCite \textit{K.-H. Neeb} and \textit{G. Ólafsson}, J. Funct. Anal. 266, No. 4, 2174--2224 (2014; Zbl 1290.22006) Full Text: DOI arXiv
Neeb, Karl-Hermann Positive energy representations and continuity of projective representations for general topological groups. (English) Zbl 1310.22018 Glasg. Math. J. 56, No. 2, 295-316 (2014). Reviewer: Helge Glöckner (Paderborn) MSC: 22E66 22D10 22E45 43A65 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Glasg. Math. J. 56, No. 2, 295--316 (2014; Zbl 1310.22018) Full Text: DOI arXiv
Neeb, Karl-Hermann Holomorphic realization of unitary representations of Banach-Lie groups. (English) Zbl 1282.22012 Huckleberry, Alan (ed.) et al., Lie groups: structure, actions, and representations. In honor of Joseph A. Wolf on the occasion of his 75th birthday. New York, NY: Birkhäuser/Springer (ISBN 978-1-4614-7192-9/hbk; 978-1-4614-7193-6/ebook). Progress in Mathematics 306, 185-223 (2013). Reviewer: Walter Freyn (Augsburg) MSC: 22E65 22E45 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Prog. Math. 306, 185--223 (2013; Zbl 1282.22012) Full Text: DOI arXiv
Neeb, Karl-Hermann; Zellner, Christoph Oscillator algebras with semi-equicontinuous coadjoint orbits. (English) Zbl 1279.22016 Differ. Geom. Appl. 31, No. 2, 268-283 (2013). MSC: 22E45 22E65 PDFBibTeX XMLCite \textit{K.-H. Neeb} and \textit{C. Zellner}, Differ. Geom. Appl. 31, No. 2, 268--283 (2013; Zbl 1279.22016) Full Text: DOI arXiv
Neeb, Karl-Hermann Semibounded representations of Hermitian Lie groups. (English) Zbl 1525.22010 Travaux mathématiques. Vol. XXI. Luxembourg: University of Luxembourg, Faculty of Science, Technology and Communication. Trav. Math. 21, 29-109 (2012). MSC: 22E65 22E45 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Trav. Math. 21, 29--109 (2012; Zbl 1525.22010) Full Text: arXiv
Merigon, Stéphane; Neeb, Karl-Hermann Analytic extension techniques for unitary representations of Banach-Lie groups. (English) Zbl 1252.22010 Int. Math. Res. Not. 2012, No. 18, 4260-4300 (2012). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E66 22E45 22E65 PDFBibTeX XMLCite \textit{S. Merigon} and \textit{K.-H. Neeb}, Int. Math. Res. Not. 2012, No. 18, 4260--4300 (2012; Zbl 1252.22010) Full Text: DOI arXiv
Beltiţă, Daniel; Neeb, Karl-Hermann Schur-Weyl theory for \(C^*\)-algebras. (English) Zbl 1251.22014 Math. Nachr. 285, No. 10, 1170-1198 (2012). Reviewer: Sergei Platonov (Petrozavodsk) MSC: 22E65 22E45 PDFBibTeX XMLCite \textit{D. Beltiţă} and \textit{K.-H. Neeb}, Math. Nachr. 285, No. 10, 1170--1198 (2012; Zbl 1251.22014) Full Text: DOI arXiv
Neeb, Karl-H. On analytic vectors for unitary representations of infinite dimensional Lie groups. (Vecteurs analytiques pour les représentations unitaires des groups de Lie à dimension infinie.) (English. French summary) Zbl 1241.22023 Ann. Inst. Fourier 61, No. 5, 1839-1874 (2011). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22E45 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Ann. Inst. Fourier 61, No. 5, 1839--1874 (2011; Zbl 1241.22023) Full Text: DOI arXiv EuDML
Neeb, Karl-Hermann Semibounded representations and invariant cones in infinite dimensional Lie algebras. (English) Zbl 1186.22023 Confluentes Math. 2, No. 1, 37-134 (2010). Reviewer: Volodymyr Mazorchuk (Uppsala) MSC: 22E65 22E45 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Confluentes Math. 2, No. 1, 37--134 (2010; Zbl 1186.22023) Full Text: DOI arXiv
Beltiţă, Daniel; Neeb, Karl-Hermann A nonsmooth continuous unitary representation of a Banach-Lie group. (English) Zbl 1203.22013 J. Lie Theory 18, No. 4, 933-936 (2008). Reviewer: Jan Kubarski (Łódź) MSC: 22E65 22E45 46C99 22A25 PDFBibTeX XMLCite \textit{D. Beltiţă} and \textit{K.-H. Neeb}, J. Lie Theory 18, No. 4, 933--936 (2008; Zbl 1203.22013) Full Text: arXiv Link
Kumar, Shrawan; Neeb, Karl-Hermann Extensions of algebraic groups. (English) Zbl 1097.20039 Bernstein, Joseph (ed.) et al., Studies in Lie theory. Dedicated to A. Joseph on his sixtieth birthday. Basel: Birkhäuser (ISBN 0-8176-4342-7/hbk). Progress in Mathematics 243, 365-376 (2006). MSC: 20G10 20E22 17B56 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{K.-H. Neeb}, Prog. Math. 243, 365--376 (2006; Zbl 1097.20039)
Neeb, Karl-Hermann Infinite-dimensional groups and their representations. (English) Zbl 1076.22016 Anker, Jean-Philippe (ed.) et al., Lie theory. Lie algebras and representations. Boston, MA: Birkhäuser (ISBN 0-8176-3373-1/hbk). Progress in Mathematics 228, 213-328 (2004). Reviewer: Albert Sheu (Lawrence) MSC: 22E65 17B10 47B10 47D03 47L99 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Prog. Math. 228, 213--328 (2004; Zbl 1076.22016)
Neeb, Karl-Hermann Highest weight representations and infinite-dimensional Kähler manifolds. (English) Zbl 1020.22008 Bajo, Ignacio (ed.) et al., Recent advances in Lie theory. Selected contributions to the 1st colloquium on Lie theory and applications, Vigo, Spain, July 17-22, 2000. Lemgo: Heldermann Verlag. Res. Expo. Math. 25, 367-392 (2002). Reviewer: Akira Asada (Takarazuka) MSC: 22E65 22E45 53D20 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Res. Expo. Math. 25, 367--392 (2002; Zbl 1020.22008)
Krötz, Bernhard; Neeb, Karl-Hermann; Ólafsson, Gestur Spherical functions on mixed symmetric spaces. (English) Zbl 0989.22017 Represent. Theory 5, 43-92 (2001). Reviewer: J.D.Lawson (Baton Rouge) MSC: 22E30 22E45 43A85 PDFBibTeX XMLCite \textit{B. Krötz} et al., Represent. Theory 5, 43--92 (2001; Zbl 0989.22017) Full Text: DOI
Neeb, K.-H. Representation theory and convexity. (English) Zbl 0964.22004 Transform. Groups 5, No. 4, 325-350 (2000). Reviewer: A.K.Guts (Omsk) MSC: 22E10 22E45 32M05 PDFBibTeX XMLCite \textit{K. H. Neeb}, Transform. Groups 5, No. 4, 325--350 (2000; Zbl 0964.22004) Full Text: DOI
Neeb, Karl-Hermann Smooth vectors for highest weight representations. (English) Zbl 1029.17007 Glasg. Math. J. 42, No. 3, 469-477 (2000). MSC: 17B15 22E45 22E60 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Glasg. Math. J. 42, No. 3, 469--477 (2000; Zbl 1029.17007) Full Text: DOI
Neeb, Karl-Hermann Holomorphy and convexity in Lie theory. (English) Zbl 0936.22001 de Gruyter Expositions in Mathematics. 28. Berlin: de Gruyter. xxi, 778 p. (1999). Reviewer: A.K.Guts (Omsk) MSC: 22-02 22E15 22E45 17-02 17B05 17B10 32E10 32U05 43A35 43A65 81R05 81R30 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Holomorphy and convexity in Lie theory. Berlin: de Gruyter (1999; Zbl 0936.22001)
Neeb, Karl-Hermann; Ørsted, Bent Unitary highest weight representations in Hilbert spaces of holomorphic functions on infinite dimensional domains. (English) Zbl 0908.22015 J. Funct. Anal. 156, No. 1, 263-300 (1998). Reviewer: A.K.Guts (Omsk) MSC: 22E45 PDFBibTeX XMLCite \textit{K.-H. Neeb} and \textit{B. Ørsted}, J. Funct. Anal. 156, No. 1, 263--300 (1998; Zbl 0908.22015) Full Text: DOI
Neeb, Karl-Hermann Some open problems in representation theory related to complex geometry. (English) Zbl 0908.22008 Hilgert, Joachim (ed.) et al., Positivity in Lie theory: open problems. Berlin: Walter de Gruyter. De Gruyter Expo. Math. 26, 195-220 (1998). Reviewer: A.K.Guts (Omsk) MSC: 22E10 22E45 PDFBibTeX XMLCite \textit{K.-H. Neeb}, De Gruyter Expo. Math. 26, 195--220 (1998; Zbl 0908.22008)
Hilgert, Joachim; Neeb, Karl-Hermann Invariant cones in real representations. (English) Zbl 0908.22009 Hilgert, Joachim (ed.) et al., Positivity in Lie theory: open problems. Berlin: Walter de Gruyter. De Gruyter Expo. Math. 26, 99-119 (1998). Reviewer: A.K.Guts (Omsk) MSC: 22E15 22E45 PDFBibTeX XMLCite \textit{J. Hilgert} and \textit{K.-H. Neeb}, De Gruyter Expo. Math. 26, 99--119 (1998; Zbl 0908.22009)
Neeb, Karl-Hermann Holomorphic highest weight representations of infinite dimensional complex classical groups. (English) Zbl 0894.22007 J. Reine Angew. Math. 497, 171-222 (1998). Reviewer: A.K.Guts (Omsk) MSC: 22E45 22E10 PDFBibTeX XMLCite \textit{K.-H. Neeb}, J. Reine Angew. Math. 497, 171--222 (1998; Zbl 0894.22007) Full Text: DOI
Neeb, Karl-Hermann Coherent states, holomorphic extensions, and highest weight representations. (English) Zbl 0894.22008 Pac. J. Math. 174, No. 2, 497-542 (1996). Reviewer: J.D.Lawson (Baton Rouge) MSC: 22E45 17B15 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Pac. J. Math. 174, No. 2, 497--542 (1996; Zbl 0894.22008) Full Text: DOI Link
Neeb, Karl-Hermann Holomorphic representation theory. I. (English) Zbl 0829.43017 Math. Ann. 301, No. 1, 155-181 (1995). Reviewer: A.K.Guts (Omsk) MSC: 43A65 43A35 22E45 PDFBibTeX XMLCite \textit{K.-H. Neeb}, Math. Ann. 301, No. 1, 155--181 (1995; Zbl 0829.43017) Full Text: DOI EuDML