Esen, Ogul; Özcan, Gökhan; Sütlü, Serkan On extensions, Lie-Poisson systems, and dissipation. (English) Zbl 07493084 J. Lie Theory 32, No. 2, 327-382 (2022). MSC: 37J37 53D17 PDF BibTeX XML Cite \textit{O. Esen} et al., J. Lie Theory 32, No. 2, 327--382 (2022; Zbl 07493084) Full Text: arXiv Link OpenURL
Herrmann, Christian; Lorand, Jonathan; Weinstein, Alan (Co)isotropic triples and poset representations. (English) Zbl 1482.37061 Rend. Semin. Mat. Univ. Padova 146, 57-162 (2021). MSC: 37J37 37J06 15A21 15A03 PDF BibTeX XML Cite \textit{C. Herrmann} et al., Rend. Semin. Mat. Univ. Padova 146, 57--162 (2021; Zbl 1482.37061) Full Text: DOI arXiv OpenURL
Jurdjevic, V. Kowalewski top and complex Lie algebras. (English) Zbl 07424806 Anal. Math. Phys. 11, No. 4, Paper No. 173, 38 p. (2021). MSC: 70G65 17B80 37J37 PDF BibTeX XML Cite \textit{V. Jurdjevic}, Anal. Math. Phys. 11, No. 4, Paper No. 173, 38 p. (2021; Zbl 07424806) Full Text: DOI OpenURL
Zhu, Mengkun; Wang, Dan; Chen, Yang Painlevé IV and the semi-classical Laguerre unitary ensembles with one jump discontinuities. (English) Zbl 1472.37062 Anal. Math. Phys. 11, No. 3, Paper No. 131, 19 p. (2021). MSC: 37J37 37J65 34M55 15B52 42C05 33E17 PDF BibTeX XML Cite \textit{M. Zhu} et al., Anal. Math. Phys. 11, No. 3, Paper No. 131, 19 p. (2021; Zbl 1472.37062) Full Text: DOI OpenURL
Olshanetsky, M. A. Integrable extensions of classical elliptic integrable systems. (English. Russian original) Zbl 1477.37064 Theor. Math. Phys. 208, No. 2, 1061-1074 (2021); translation from Teor. Mat. Fiz. 208, No. 2, 245-260 (2021). MSC: 37J37 37J35 22E30 17B80 PDF BibTeX XML Cite \textit{M. A. Olshanetsky}, Theor. Math. Phys. 208, No. 2, 1061--1074 (2021; Zbl 1477.37064); translation from Teor. Mat. Fiz. 208, No. 2, 245--260 (2021) Full Text: DOI arXiv OpenURL
Colarusso, Mark; Evens, Sam The complex orthogonal Gelfand-Zeitlin system. (English) Zbl 07381540 Int. Math. Res. Not. 2021, No. 4, 2682-2722 (2021). MSC: 37J37 37J39 37J35 53D05 53D20 PDF BibTeX XML Cite \textit{M. Colarusso} and \textit{S. Evens}, Int. Math. Res. Not. 2021, No. 4, 2682--2722 (2021; Zbl 07381540) Full Text: DOI arXiv OpenURL
Kozlov, Valery; Polekhin, Ivan On the non-integrability and dynamics of discrete models of threads. (English) Zbl 1480.37069 Nonlinearity 34, No. 9, 6398-6416 (2021). MSC: 37J30 37J35 37J37 PDF BibTeX XML Cite \textit{V. Kozlov} and \textit{I. Polekhin}, Nonlinearity 34, No. 9, 6398--6416 (2021; Zbl 1480.37069) Full Text: DOI arXiv OpenURL
Kels, Andrew P.; Yamazaki, Masahito Lens generalisation of \(\tau\)-functions for the elliptic discrete Painlevé equation. (English) Zbl 1480.37076 Int. Math. Res. Not. 2021, No. 1, 110-151 (2021). Reviewer: Mengkun Zhu (Jinan) MSC: 37J70 37J65 37J37 39A36 11F27 33C80 33E05 34M55 PDF BibTeX XML Cite \textit{A. P. Kels} and \textit{M. Yamazaki}, Int. Math. Res. Not. 2021, No. 1, 110--151 (2021; Zbl 1480.37076) Full Text: DOI arXiv OpenURL
Borisova, P. I. Separation of variables for type \(D_n\) Hitchin systems on a hyperelliptic curve. (English. Russian original) Zbl 1467.14088 Russ. Math. Surv. 76, No. 2, 363-365 (2021); translation from Usp. Mat. Nauk 76, No. 2, 181-182 (2021). MSC: 14H70 37J37 PDF BibTeX XML Cite \textit{P. I. Borisova}, Russ. Math. Surv. 76, No. 2, 363--365 (2021; Zbl 1467.14088); translation from Usp. Mat. Nauk 76, No. 2, 181--182 (2021) Full Text: DOI arXiv OpenURL
De Meulenaere, Annelies; Hohloch, Sonja A family of semitoric systems with four focus-focus singularities and two double pinched tori. (English) Zbl 07376467 J. Nonlinear Sci. 31, No. 4, Paper No. 66, 56 p. (2021). MSC: 37J20 37J35 37J37 70H06 70H33 PDF BibTeX XML Cite \textit{A. De Meulenaere} and \textit{S. Hohloch}, J. Nonlinear Sci. 31, No. 4, Paper No. 66, 56 p. (2021; Zbl 07376467) Full Text: DOI arXiv OpenURL
Błaszak, Maciej; Marciniak, Krzysztof; Sergyeyev, Artur Deforming Lie algebras to Frobenius integrable nonautonomous Hamiltonian systems. (English) Zbl 07371592 Rep. Math. Phys. 87, No. 2, 249-263 (2021). MSC: 37J65 37J37 37J35 17B80 PDF BibTeX XML Cite \textit{M. Błaszak} et al., Rep. Math. Phys. 87, No. 2, 249--263 (2021; Zbl 07371592) Full Text: DOI arXiv OpenURL
Skrypnyk, T. On a class of \(gl (n) \otimes gl (n)\)-valued classical \(r\)-matrices and separation of variables. (English) Zbl 1464.70010 J. Math. Phys. 62, No. 6, 063508, 27 p. (2021). MSC: 70H06 37J37 PDF BibTeX XML Cite \textit{T. Skrypnyk}, J. Math. Phys. 62, No. 6, 063508, 27 p. (2021; Zbl 1464.70010) Full Text: DOI OpenURL
Káninský, J. Discrete linear canonical evolution. (English) Zbl 1479.37059 J. Math. Phys. 62, No. 6, 062303, 26 p. (2021). Reviewer: Cristian Lăzureanu (Timişoara) MSC: 37J11 37J37 81T25 81T27 PDF BibTeX XML Cite \textit{J. Káninský}, J. Math. Phys. 62, No. 6, 062303, 26 p. (2021; Zbl 1479.37059) Full Text: DOI arXiv OpenURL
Correa, Eder M.; Grama, Lino Lax formalism for Gelfand-Tsetlin integrable systems. (English) Zbl 1479.37063 Bull. Sci. Math. 170, Article ID 102999, 40 p. (2021). Reviewer: Yarema Prykarpatskyy (Kraków) MSC: 37J37 37J39 37J35 17B80 14H70 PDF BibTeX XML Cite \textit{E. M. Correa} and \textit{L. Grama}, Bull. Sci. Math. 170, Article ID 102999, 40 p. (2021; Zbl 1479.37063) Full Text: DOI arXiv OpenURL
Adamopoulou, P.; Konstantinou-Rizos, S.; Papamikos, G. Integrable extensions of the Adler map via Grassmann algebras. (English. Russian original) Zbl 1467.37058 Theor. Math. Phys. 207, No. 2, 553-559 (2021); translation from Teor. Mat. Fiz. 207, No. 2, 179-187 (2021). Reviewer: Eszter Gselmann (Debrecen) MSC: 37J70 37J35 37J37 39A36 15A75 17B38 PDF BibTeX XML Cite \textit{P. Adamopoulou} et al., Theor. Math. Phys. 207, No. 2, 553--559 (2021; Zbl 1467.37058); translation from Teor. Mat. Fiz. 207, No. 2, 179--187 (2021) Full Text: DOI arXiv OpenURL
Šepitka, Peter; Šimon Hilscher, Roman Comparative index and Lidskii angles for symplectic matrices. (English) Zbl 1467.37055 Linear Algebra Appl. 624, 174-197 (2021). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 37J37 15B99 34C10 53D05 PDF BibTeX XML Cite \textit{P. Šepitka} and \textit{R. Šimon Hilscher}, Linear Algebra Appl. 624, 174--197 (2021; Zbl 1467.37055) Full Text: DOI OpenURL
Grillo, Sergio Non-commutative integrability, exact solvability and the Hamilton-Jacobi theory. (English) Zbl 07330698 Anal. Math. Phys. 11, No. 2, Paper No. 71, 32 p. (2021). Reviewer: Ioan Bucataru (Iaşi) MSC: 70H20 37J37 PDF BibTeX XML Cite \textit{S. Grillo}, Anal. Math. Phys. 11, No. 2, Paper No. 71, 32 p. (2021; Zbl 07330698) Full Text: DOI arXiv OpenURL
Latini, Danilo; Marquette, Ian; Zhang, Yao-Zhong Embedding of the Racah algebra \(R(n)\) and superintegrability. (English) Zbl 1457.37077 Ann. Phys. 426, Article ID 168397, 17 p. (2021). MSC: 37J37 37J35 81R12 PDF BibTeX XML Cite \textit{D. Latini} et al., Ann. Phys. 426, Article ID 168397, 17 p. (2021; Zbl 1457.37077) Full Text: DOI arXiv OpenURL
Bury, Rhys T.; Mikhailov, Alexander V. Automorphic Lie algebras and corresponding integrable systems. (English) Zbl 07315198 Differ. Geom. Appl. 74, Article ID 101710, 26 p. (2021). MSC: 17B80 17B67 20G45 37J37 PDF BibTeX XML Cite \textit{R. T. Bury} and \textit{A. V. Mikhailov}, Differ. Geom. Appl. 74, Article ID 101710, 26 p. (2021; Zbl 07315198) Full Text: DOI arXiv OpenURL
Saltenberger, Philip; Senn, Michel-Niklas On skew-Hamiltonian matrices and their Krylov-Lagrangian subspaces. (English) Zbl 1460.15017 Linear Algebra Appl. 611, 66-81 (2021). Reviewer: Tin Yau Tam (Reno) MSC: 15A21 15A04 15A29 15A63 15B99 37J37 PDF BibTeX XML Cite \textit{P. Saltenberger} and \textit{M.-N. Senn}, Linear Algebra Appl. 611, 66--81 (2021; Zbl 1460.15017) Full Text: DOI arXiv OpenURL
Šepitka, Peter; Šimon Hilscher, Roman Distribution and number of focal points for linear Hamiltonian systems. (English) Zbl 1460.37082 Linear Algebra Appl. 611, 26-45 (2021). MSC: 37N35 34L15 37J37 93C15 PDF BibTeX XML Cite \textit{P. Šepitka} and \textit{R. Šimon Hilscher}, Linear Algebra Appl. 611, 26--45 (2021; Zbl 1460.37082) Full Text: DOI OpenURL
Nobe, Atsushi; Matsukidaira, Junta Periodicity, linearizability, and integrability in seed mutations of type \(\boldsymbol{A}_N^{(1)}\). (English) Zbl 1475.37064 J. Math. Phys. 62, No. 1, 013510, 24 p. (2021). Reviewer: Agustín Moreno Cañadas (Bogotá) MSC: 37J37 37J70 13F60 16G20 PDF BibTeX XML Cite \textit{A. Nobe} and \textit{J. Matsukidaira}, J. Math. Phys. 62, No. 1, 013510, 24 p. (2021; Zbl 1475.37064) Full Text: DOI arXiv OpenURL
Fairon, M.; Fehér, L.; Marshall, I. Trigonometric real form of the spin RS model of Krichever and Zabrodin. (English) Zbl 1468.37047 Ann. Henri Poincaré 22, No. 2, 615-675 (2021). MSC: 37J35 37J39 37J37 37J38 70H06 53D17 53D20 PDF BibTeX XML Cite \textit{M. Fairon} et al., Ann. Henri Poincaré 22, No. 2, 615--675 (2021; Zbl 1468.37047) Full Text: DOI arXiv OpenURL
Esen, Oğul; Kudeyt, Mahmut; Sütlü, Serkan Second order Lagrangian dynamics on double cross product groups. (English) Zbl 1470.22008 J. Geom. Phys. 159, Article ID 103934, 19 p. (2021). MSC: 22E70 70H50 37J37 PDF BibTeX XML Cite \textit{O. Esen} et al., J. Geom. Phys. 159, Article ID 103934, 19 p. (2021; Zbl 1470.22008) Full Text: DOI arXiv OpenURL
Pusztai, Béla Gábor Lax matrices for a 1-parameter subfamily of van Diejen-Toda chains. (English) Zbl 1479.37062 Nucl. Phys., B 950, Article ID 114866, 38 p. (2020). MSC: 37J35 37J37 PDF BibTeX XML Cite \textit{B. G. Pusztai}, Nucl. Phys., B 950, Article ID 114866, 38 p. (2020; Zbl 1479.37062) Full Text: DOI arXiv OpenURL
Rybnikov, Leonid A proof of the Gaudin Bethe ansatz conjecture. (English) Zbl 1460.37057 Int. Math. Res. Not. 2020, No. 22, 8766-8785 (2020). MSC: 37J37 37J35 17B80 82B23 PDF BibTeX XML Cite \textit{L. Rybnikov}, Int. Math. Res. Not. 2020, No. 22, 8766--8785 (2020; Zbl 1460.37057) Full Text: DOI arXiv OpenURL
Petrov, A. G. On parametric representations of orthogonal and symplectic matrices. (English. Russian original) Zbl 1460.37056 Russ. Math. 64, No. 6, 80-85 (2020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 6, 93-98 (2020). MSC: 37J37 15B10 15B30 PDF BibTeX XML Cite \textit{A. G. Petrov}, Russ. Math. 64, No. 6, 80--85 (2020; Zbl 1460.37056); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2020, No. 6, 93--98 (2020) Full Text: DOI OpenURL
Suzuki, Takao; Okubo, Naoto Cluster algebra and \(q\)-Painlevé equations: higher order generalization and degeneration structure. (English) Zbl 1457.39006 RIMS Kôkyûroku Bessatsu B78, 53-75 (2020). MSC: 39A13 17B80 34M55 37J70 37J65 37J37 13F60 PDF BibTeX XML Cite \textit{T. Suzuki} and \textit{N. Okubo}, RIMS Kôkyûroku Bessatsu B78, 53--75 (2020; Zbl 1457.39006) Full Text: Link OpenURL
de Almeida Santos, Edileno; Rodrigues, Sergio Darboux-Jouanolou integrability over arbitrary fields. (English) Zbl 1459.37046 J. Pure Appl. Algebra 224, No. 12, Article ID 106427, 8 p. (2020). MSC: 37J37 37J39 37J35 PDF BibTeX XML Cite \textit{E. de Almeida Santos} and \textit{S. Rodrigues}, J. Pure Appl. Algebra 224, No. 12, Article ID 106427, 8 p. (2020; Zbl 1459.37046) Full Text: DOI arXiv OpenURL
Skrypnyk, T. Separation of variables for quadratic algebras: algebras of Maillet and reflection-equation algebras. (English) Zbl 1475.70014 J. Math. Phys. 61, No. 8, 083504, 37 p. (2020). MSC: 70H06 17B63 37J37 PDF BibTeX XML Cite \textit{T. Skrypnyk}, J. Math. Phys. 61, No. 8, 083504, 37 p. (2020; Zbl 1475.70014) Full Text: DOI OpenURL
Yoshida, Zensho; Morrison, Philip J. Deformation of Lie-Poisson algebras and chirality. (English) Zbl 1475.17040 J. Math. Phys. 61, No. 8, 082901, 22 p. (2020). MSC: 17B63 37J37 53D17 70H05 70K05 76M60 PDF BibTeX XML Cite \textit{Z. Yoshida} and \textit{P. J. Morrison}, J. Math. Phys. 61, No. 8, 082901, 22 p. (2020; Zbl 1475.17040) Full Text: DOI arXiv OpenURL
Sechin, I. A.; Zotov, A. V. Integrable system of generalized relativistic interacting tops. (English. Russian original) Zbl 1456.37057 Theor. Math. Phys. 205, No. 1, 1291-1302 (2020); translation from Teor. Mat. Fiz. 205, No. 1, 55-67 (2020). MSC: 37J35 37J37 70E40 PDF BibTeX XML Cite \textit{I. A. Sechin} and \textit{A. V. Zotov}, Theor. Math. Phys. 205, No. 1, 1291--1302 (2020; Zbl 1456.37057); translation from Teor. Mat. Fiz. 205, No. 1, 55--67 (2020) Full Text: DOI arXiv OpenURL
Chuño, Eber A non-local Poisson bracket for Coxeter-Toda lattices. (English) Zbl 1452.37062 Colloq. Math. 161, No. 1, 67-88 (2020). Reviewer: Ion Mihai (Bucureşti) MSC: 37J37 37J35 37J06 53D17 17B80 37K35 PDF BibTeX XML Cite \textit{E. Chuño}, Colloq. Math. 161, No. 1, 67--88 (2020; Zbl 1452.37062) Full Text: DOI OpenURL
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele; Wakimoto, Minoru Poisson \(\lambda\)-brackets for differential-difference equations. (English) Zbl 1473.37079 Int. Math. Res. Not. 2020, No. 13, 4144-4190 (2020). Reviewer: Yarema Prykarpatskyy (Kraków) MSC: 37K06 37K30 37J06 37J37 39A36 17B63 PDF BibTeX XML Cite \textit{A. De Sole} et al., Int. Math. Res. Not. 2020, No. 13, 4144--4190 (2020; Zbl 1473.37079) Full Text: DOI arXiv OpenURL
Skrypnyk, T. Separation of variables, Lax-integrable systems and \(gl(2) \otimes gl(2)\)-valued classical \(r\)-matrices. (English) Zbl 1450.37054 J. Geom. Phys. 155, Article ID 103733, 16 p. (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J37 17B80 82B23 PDF BibTeX XML Cite \textit{T. Skrypnyk}, J. Geom. Phys. 155, Article ID 103733, 16 p. (2020; Zbl 1450.37054) Full Text: DOI OpenURL
Dinar, Yassir On integrability of transverse Lie-Poisson structures at nilpotent elements. (English) Zbl 1473.37071 J. Geom. Phys. 155, Article ID 103690, 12 p. (2020). Reviewer: Luen-Chau Li (University Park) MSC: 37J37 37J35 53D17 17B08 17B80 PDF BibTeX XML Cite \textit{Y. Dinar}, J. Geom. Phys. 155, Article ID 103690, 12 p. (2020; Zbl 1473.37071) Full Text: DOI arXiv OpenURL
Fordy, Allan P.; Huang, Qing Superintegrable systems on 3 dimensional conformally flat spaces. (English) Zbl 1466.37048 J. Geom. Phys. 153, Article ID 103687, 26 p. (2020). MSC: 37J35 37J37 70G45 70G65 70H06 17B63 PDF BibTeX XML Cite \textit{A. P. Fordy} and \textit{Q. Huang}, J. Geom. Phys. 153, Article ID 103687, 26 p. (2020; Zbl 1466.37048) Full Text: DOI arXiv OpenURL
Magnano, Guido; Skrypnyk, Taras New separation of variables for the classical \(XXX\) and \(XXZ\) Heisenberg spin chains. (English) Zbl 1444.37049 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 047, 27 p. (2020). MSC: 37J35 37J37 17B80 82B23 PDF BibTeX XML Cite \textit{G. Magnano} and \textit{T. Skrypnyk}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 047, 27 p. (2020; Zbl 1444.37049) Full Text: DOI arXiv OpenURL
Sokolov, Vladimir Algebraic structures in integrability. (English) Zbl 1477.37001 Hackensack, NJ: World Scientific (ISBN 978-981-12-1964-1/hbk; 978-981-12-1966-5/ebook). xviii, 327 p. (2020). Reviewer: Georgios Papamikos (Colchester) MSC: 37-02 37K30 37K10 37J35 37J37 PDF BibTeX XML Cite \textit{V. Sokolov}, Algebraic structures in integrability. Hackensack, NJ: World Scientific (2020; Zbl 1477.37001) Full Text: DOI OpenURL
Mourão, José M.; Nunes, João P.; Pereira, Miguel B. Partial coherent state transforms, \(G\times T\)-invariant Kähler structures and geometric quantization of cotangent bundles of compact Lie groups. (English) Zbl 1440.53102 Adv. Math. 368, Article ID 107139, 36 p. (2020). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53D50 53C30 53E50 37J37 37J38 37J39 PDF BibTeX XML Cite \textit{J. M. Mourão} et al., Adv. Math. 368, Article ID 107139, 36 p. (2020; Zbl 1440.53102) Full Text: DOI arXiv OpenURL
Cushman, Richard H.; Śniatycki, Jędrzej On Lie algebra actions. (English) Zbl 1443.37044 Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1115-1129 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J37 37J39 37J06 37J11 37J35 22F05 16W25 53D17 53D05 PDF BibTeX XML Cite \textit{R. H. Cushman} and \textit{J. Śniatycki}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 4, 1115--1129 (2020; Zbl 1443.37044) Full Text: DOI OpenURL
Fehér, L. Reduction of a bi-Hamiltonian hierarchy on \(T^\ast\text{U}(n)\) to spin Ruijsenaars-Sutherland models. (English) Zbl 1445.37042 Lett. Math. Phys. 110, No. 5, 1057-1079 (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J37 37J35 37J06 53D20 53D17 PDF BibTeX XML Cite \textit{L. Fehér}, Lett. Math. Phys. 110, No. 5, 1057--1079 (2020; Zbl 1445.37042) Full Text: DOI arXiv OpenURL
Gurevich, Dimitri; Saponov, Pavel; Slinkin, Alexey Bethe subalgebras in braided Yangians and Gaudin-type models. (English) Zbl 1475.37063 Commun. Math. Phys. 374, No. 2, 689-704 (2020). Reviewer: Kazuhiro Hikami (Fukuoka) MSC: 37J37 37J35 20C08 82B23 16T05 16T25 17B37 18M15 81R12 PDF BibTeX XML Cite \textit{D. Gurevich} et al., Commun. Math. Phys. 374, No. 2, 689--704 (2020; Zbl 1475.37063) Full Text: DOI arXiv OpenURL
Ikeda, Kaoru The resolutions of the singular loci of the Toda lattice on the split and connected reductive Lie groups. (English) Zbl 1441.37063 J. Geom. Phys. 148, Article ID 103558, 9 p. (2020). MSC: 37J37 17B80 22E46 PDF BibTeX XML Cite \textit{K. Ikeda}, J. Geom. Phys. 148, Article ID 103558, 9 p. (2020; Zbl 1441.37063) Full Text: DOI OpenURL
Lin, Chang-Shou; Yang, Wen; Zhong, Xuexiu A priori estimates of Toda systems. I: The Lie algebras of \(\mathbf{A}_n, \mathbf{B}_n, \mathbf{C}_n\) and \(\mathbf{G}_2\). (English) Zbl 1432.37086 J. Differ. Geom. 114, No. 2, 337-391 (2020). MSC: 37J37 37J35 PDF BibTeX XML Cite \textit{C.-S. Lin} et al., J. Differ. Geom. 114, No. 2, 337--391 (2020; Zbl 1432.37086) Full Text: DOI Euclid OpenURL
Shinjo, Masato; Iwasaki, Masashi; Kondo, Koichi The Kostant-Toda equation and the hungry integrable systems. (English) Zbl 1432.37085 J. Math. Anal. Appl. 483, No. 2, Article ID 123627, 15 p. (2020). MSC: 37J35 37J39 37J37 PDF BibTeX XML Cite \textit{M. Shinjo} et al., J. Math. Anal. Appl. 483, No. 2, Article ID 123627, 15 p. (2020; Zbl 1432.37085) Full Text: DOI OpenURL
Shiraishi, Jun’ichi Affine screening operators, affine Laumon spaces and conjectures concerning non-stationary Ruijsenaars functions. (English) Zbl 1481.37062 J. Integrable Syst. 4, Article ID xyz010, 30 p. (2019). MSC: 37J37 37J35 17B69 PDF BibTeX XML Cite \textit{J. Shiraishi}, J. Integrable Syst. 4, Article ID xyz010, 30 p. (2019; Zbl 1481.37062) Full Text: DOI arXiv OpenURL
Fairon, Maxime Spin versions of the complex trigonometric Ruijsenaars-Schneider model from cyclic quivers. (English) Zbl 1481.37058 J. Integrable Syst. 4, Article ID xyz008, 55 p. (2019). MSC: 37J35 37J37 37J06 16G20 PDF BibTeX XML Cite \textit{M. Fairon}, J. Integrable Syst. 4, Article ID xyz008, 55 p. (2019; Zbl 1481.37058) Full Text: DOI arXiv OpenURL
Artemovych, Orest D.; Balinsky, Alexander A.; Prykarpatski, Anatolij K. Hamiltonian operators and related differential-algebraic Balinsky-Novikov, Riemann and Leibniz type structures on nonassociative noncommutative algebras. (English) Zbl 1472.37061 Proc. Int. Geom. Cent. 12, No. 4, 1-49 (2019). MSC: 37J37 37J39 17B80 17A30 17A32 PDF BibTeX XML Cite \textit{O. D. Artemovych} et al., Proc. Int. Geom. Cent. 12, No. 4, 1--49 (2019; Zbl 1472.37061) Full Text: DOI OpenURL
Prykarpatski, Anatolij K. About the solutions to the Witten-Dijkgraaf-Verlinde-Verlinde associativity equations and their Lie-algebraic and geometric properties. (English) Zbl 1447.37059 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., 57-67 (2019). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37J37 37J39 37K25 37K30 PDF BibTeX XML Cite \textit{A. K. Prykarpatski}, 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. 57--67 (2019; Zbl 1447.37059) Full Text: DOI OpenURL
Palii, Yu. G. Foliation of the space \(\mathfrak{sl}^{\ast}(n,\mathbb{R})\) into coadjoint orbits. (English. Russian original) Zbl 1439.37059 J. Math. Sci., New York 240, No. 5, 678-687 (2019); translation from Zap. Nauchn. Semin. POMI 468, 267-280 (2018). MSC: 37J37 37C86 53D05 22E46 22E15 PDF BibTeX XML Cite \textit{Yu. G. Palii}, J. Math. Sci., New York 240, No. 5, 678--687 (2019; Zbl 1439.37059); translation from Zap. Nauchn. Semin. POMI 468, 267--280 (2018) Full Text: DOI OpenURL
Zuo, Dafeng Supersymmetric Euler equations associated to the \(N \leq 3\) Neveu-Schwarz algebra. (English) Zbl 1472.37063 J. Math. Phys. 60, No. 12, 123505, 11 p. (2019). MSC: 37J37 17B65 17B80 PDF BibTeX XML Cite \textit{D. Zuo}, J. Math. Phys. 60, No. 12, 123505, 11 p. (2019; Zbl 1472.37063) Full Text: DOI OpenURL
Bolsinov, Alexey; Bao, Jinrong A note about integrable systems on low-dimensional Lie groups and Lie algebras. (English) Zbl 1435.37082 Regul. Chaotic Dyn. 24, No. 3, 266-280 (2019). MSC: 37J35 37J37 53B50 70G65 53D17 PDF BibTeX XML Cite \textit{A. Bolsinov} and \textit{J. Bao}, Regul. Chaotic Dyn. 24, No. 3, 266--280 (2019; Zbl 1435.37082) Full Text: DOI OpenURL
Ibort, A.; Marmo, G.; Rodríguez, M. A.; Tempesta, P. Nilpotent integrability, reduction of dynamical systems and a third-order Calogero-Moser system. (English) Zbl 1428.37054 Ann. Mat. Pura Appl. (4) 198, No. 5, 1513-1540 (2019). MSC: 37J35 37J37 17B80 PDF BibTeX XML Cite \textit{A. Ibort} et al., Ann. Mat. Pura Appl. (4) 198, No. 5, 1513--1540 (2019; Zbl 1428.37054) Full Text: DOI arXiv OpenURL
Fordy, Allan P. First integrals from conformal symmetries: Darboux-Koenigs metrics and beyond. (English) Zbl 1430.37063 J. Geom. Phys. 145, Article ID 103475, 13 p. (2019). MSC: 37J37 37J35 70H06 70H20 17B63 81S10 PDF BibTeX XML Cite \textit{A. P. Fordy}, J. Geom. Phys. 145, Article ID 103475, 13 p. (2019; Zbl 1430.37063) Full Text: DOI arXiv Link OpenURL
Lompert, Konrad; Panasyuk, Andriy Invariant Nijenhuis tensors and integrable geodesic flows. (English) Zbl 1430.37057 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 056, 30 p. (2019). Reviewer: Albert Sheu (Lawrence) MSC: 37J06 37J37 37J35 53D25 53D17 70G45 PDF BibTeX XML Cite \textit{K. Lompert} and \textit{A. Panasyuk}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 056, 30 p. (2019; Zbl 1430.37057) Full Text: DOI arXiv OpenURL
Belavin, Vladimir; Haraoka, Yoshishige; Santachiara, Raoul Rigid Fuchsian systems in 2-dimensional conformal field theories. (English) Zbl 1435.37083 Commun. Math. Phys. 365, No. 1, 17-60 (2019). Reviewer: Laure Gouba (Trieste) MSC: 37J37 37J38 81T40 34M03 17B68 34M15 PDF BibTeX XML Cite \textit{V. Belavin} et al., Commun. Math. Phys. 365, No. 1, 17--60 (2019; Zbl 1435.37083) Full Text: DOI arXiv OpenURL
Bolsinov, Alexey V. Complete commutative subalgebras in polynomial Poisson algebras: a proof of the Mischenko-Fomenko conjecture. (English) Zbl 1474.37065 Theor. Appl. Mech. (Belgrade) 43, No. 2, 145-168 (2016). MSC: 37J37 37J35 17B80 70H06 53D17 17B63 PDF BibTeX XML Cite \textit{A. V. Bolsinov}, Theor. Appl. Mech. (Belgrade) 43, No. 2, 145--168 (2016; Zbl 1474.37065) Full Text: DOI arXiv OpenURL
Dragović, Vladimir Discriminantly separable polynomials: an overview. (English) Zbl 1461.37061 Bull., Cl. Sci. Math. Nat., Sci. Math. 40, 75-97 (2015). MSC: 37J38 37J70 37J35 37K60 37J37 PDF BibTeX XML Cite \textit{V. Dragović}, Bull., Cl. Sci. Math. Nat., Sci. Math. 40, 75--97 (2015; Zbl 1461.37061) OpenURL
Xia, Baoqiang; Zhou, Ruguang Consecutive Rosochatius deformations of the Garnier system and the Hénon-Heiles system. (English) Zbl 1449.37039 Abstr. Appl. Anal. 2014, Article ID 275450, 8 p. (2014). MSC: 37J37 37J35 PDF BibTeX XML Cite \textit{B. Xia} and \textit{R. Zhou}, Abstr. Appl. Anal. 2014, Article ID 275450, 8 p. (2014; Zbl 1449.37039) Full Text: DOI OpenURL