Neretin, Yu. A. On algebras of double cosets of symmetric groups with respect to Young subgroups. (English. Russian original) Zbl 07761791 Math. Notes 114, No. 4, 583-592 (2023); translation from Mat. Zametki 114, No. 4, 591-601 (2023). MSC: 20C30 20N20 33C20 PDF BibTeX XML Cite \textit{Yu. A. Neretin}, Math. Notes 114, No. 4, 583--592 (2023; Zbl 07761791); translation from Mat. Zametki 114, No. 4, 591--601 (2023) Full Text: DOI arXiv
Li, Shiqi; Song, Yueqiang Multiplicity of solutions for a class of critical Schrödinger-Poisson systems on the Heisenberg group. (English) Zbl 07757680 Open Math. 21, Article ID 20230113, 15 p. (2023). MSC: 35J57 35R03 35A15 PDF BibTeX XML Cite \textit{S. Li} and \textit{Y. Song}, Open Math. 21, Article ID 20230113, 15 p. (2023; Zbl 07757680) Full Text: DOI OA License
Halacheva, Iva Shift of argument algebras and de Concini-Procesi spaces. (English) Zbl 07754577 Crooks, Peter (ed.) et al., Compactifications, configurations, and cohomology. Conference, Northeastern University, Boston, Massachusetts, USA, October 22–24, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 790, 79-94 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B63 17B10 PDF BibTeX XML Cite \textit{I. Halacheva}, Contemp. Math. 790, 79--94 (2023; Zbl 07754577) Full Text: DOI
Bouremel, Hassane; Chebel, Zoheir; Adimi, Hadjer Ordered Hom-groups based on Hom-compatibility. (English) Zbl 07753842 Rend. Circ. Mat. Palermo (2) 72, No. 7, 3377-3398 (2023). MSC: 17B10 17B63 17A40 PDF BibTeX XML Cite \textit{H. Bouremel} et al., Rend. Circ. Mat. Palermo (2) 72, No. 7, 3377--3398 (2023; Zbl 07753842) Full Text: DOI
Sahin, Haydar Robot grasping and regrasping kinematics using Lie algebra, the geodesic, and Riemann curvature tensor. (English) Zbl 07742832 Arch. Control Sci. 33, No. 1, 5-23 (2023). MSC: 70B15 70G65 70G45 PDF BibTeX XML Cite \textit{H. Sahin}, Arch. Control Sci. 33, No. 1, 5--23 (2023; Zbl 07742832) Full Text: DOI
Zadra, Federico; Bravetti, Alessandro; Alejandro García-Chung, Angel; Seri, Marcello The flow method for the Baker-Campbell-Hausdorff formula: exact results. (English) Zbl 07738166 J. Phys. A, Math. Theor. 56, No. 38, Article ID 385206, 25 p. (2023). MSC: 70-08 70G65 70H15 70G45 PDF BibTeX XML Cite \textit{F. Zadra} et al., J. Phys. A, Math. Theor. 56, No. 38, Article ID 385206, 25 p. (2023; Zbl 07738166) Full Text: DOI arXiv OA License
Bader, Uri; Boutonnet, Rémi; Houdayer, Cyril Charmenability of higher rank arithmetic groups. (Carmoyennabilité des groupes arithmétiques de rang supérieur.) (English. French summary) Zbl 07734711 Ann. Henri Lebesgue 6, 297-330 (2023). MSC: 22D10 22D25 22E40 37B05 46L10 46L30 PDF BibTeX XML Cite \textit{U. Bader} et al., Ann. Henri Lebesgue 6, 297--330 (2023; Zbl 07734711) Full Text: DOI arXiv
Bahayou, Amine Triangular structures on flat Lie algebras. (English) Zbl 07734123 J. Lie Theory 33, No. 3, 875-886 (2023). MSC: 17B38 17B62 53D17 PDF BibTeX XML Cite \textit{A. Bahayou}, J. Lie Theory 33, No. 3, 875--886 (2023; Zbl 07734123) Full Text: arXiv Link
Diatta, André; Manga, Bakary; Mbaye, Ameth On the classification of 2-solvable Frobenius Lie algebras. (English) Zbl 07734120 J. Lie Theory 33, No. 3, 799-830 (2023). MSC: 17B05 17B08 15A27 53A15 53D15 22E60 17B60 70G45 16W25 13B25 PDF BibTeX XML Cite \textit{A. Diatta} et al., J. Lie Theory 33, No. 3, 799--830 (2023; Zbl 07734120) Full Text: arXiv Link
Dobrogowska, Alina; Jakimowicz, Grzegorz A new look at Lie algebras. (English) Zbl 1522.17037 J. Geom. Phys. 192, Article ID 104959, 17 p. (2023). MSC: 17B99 53D17 PDF BibTeX XML Cite \textit{A. Dobrogowska} and \textit{G. Jakimowicz}, J. Geom. Phys. 192, Article ID 104959, 17 p. (2023; Zbl 1522.17037) Full Text: DOI arXiv
Caruso, Matías I.; Fernández, Javier; Tori, Cora; Zuccalli, Marcela Lagrangian reduction of forced discrete mechanical systems. (English) Zbl 07733839 J. Phys. A, Math. Theor. 56, No. 35, Article ID 355202, 25 p. (2023). MSC: 70G65 70G45 70H33 PDF BibTeX XML Cite \textit{M. I. Caruso} et al., J. Phys. A, Math. Theor. 56, No. 35, Article ID 355202, 25 p. (2023; Zbl 07733839) Full Text: DOI arXiv
Berbel, Miguel Á.; Castrillón López, Marco Poisson-Poincaré reduction for field theories. (English) Zbl 1521.70034 J. Geom. Phys. 191, Article ID 104879, 23 p. (2023). MSC: 70S05 70S10 70G45 70G65 PDF BibTeX XML Cite \textit{M. Á. Berbel} and \textit{M. Castrillón López}, J. Geom. Phys. 191, Article ID 104879, 23 p. (2023; Zbl 1521.70034) Full Text: DOI arXiv
Herbig, Hans-Christian; Herden, Daniel; Seaton, Christopher Higher Koszul brackets on the cotangent complex. (English) Zbl 1518.53061 Int. Math. Res. Not. 2023, No. 13, 11592-11644 (2023). Reviewer: Iakovos Androulidakis (Athína) MSC: 53D17 13A50 14L30 PDF BibTeX XML Cite \textit{H.-C. Herbig} et al., Int. Math. Res. Not. 2023, No. 13, 11592--11644 (2023; Zbl 1518.53061) Full Text: DOI arXiv
Stratoglou, Efstratios; Simoes, Alexandre Anahory; Colombo, Leonardo J. Reduction in optimal control with broken symmetry for collision and obstacle avoidance of multi-agent system on Lie groups. (English) Zbl 1518.70027 Commun. Anal. Mech. 15, No. 2, 1-23 (2023). MSC: 70Q05 70G65 70G75 70H03 70E55 PDF BibTeX XML Cite \textit{E. Stratoglou} et al., Commun. Anal. Mech. 15, No. 2, 1--23 (2023; Zbl 1518.70027) Full Text: DOI arXiv
Abella, Álvaro Rodríguez; Leok, Melvin Discrete Dirac reduction of implicit Lagrangian systems with abelian symmetry groups. (English) Zbl 07701156 J. Geom. Mech. 15, No. 1, 319-356 (2023). Reviewer: Maxime Fairon (Glasgow) MSC: 37J51 37J39 37J06 37M15 70H45 70G65 70G75 70H33 PDF BibTeX XML Cite \textit{Á. R. Abella} and \textit{M. Leok}, J. Geom. Mech. 15, No. 1, 319--356 (2023; Zbl 07701156) Full Text: DOI arXiv
Komech, A. I.; Kopylova, E. A. On the stability of solitons for the Maxwell-Lorentz equations with rotating particle. (English) Zbl 1521.35169 Milan J. Math. 91, No. 1, 155-173 (2023). Reviewer: Eric Stachura (Marietta) MSC: 35Q60 78A35 35C08 35B35 37K06 37K40 53D17 70S05 70G65 70G45 PDF BibTeX XML Cite \textit{A. I. Komech} and \textit{E. A. Kopylova}, Milan J. Math. 91, No. 1, 155--173 (2023; Zbl 1521.35169) Full Text: DOI arXiv
Fehér, L. Poisson reductions of master integrable systems on doubles of compact Lie groups. (English) Zbl 1519.37059 Ann. Henri Poincaré 24, No. 6, 1823-1876 (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J39 17B80 53D05 53D17 53D20 70G45 PDF BibTeX XML Cite \textit{L. Fehér}, Ann. Henri Poincaré 24, No. 6, 1823--1876 (2023; Zbl 1519.37059) Full Text: DOI arXiv
Hentosh, O. E.; Prykarpatskyy, Ya. A.; Balinsky, A. A.; Prykarpatski, A. K. Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. II. (English. Ukrainian original) Zbl 1517.37078 Ukr. Math. J. 74, No. 9, 1348-1368 (2023); translation from Ukr. Mat. Zh. 74, No. 9, 1182-1200 (2022). MSC: 37K65 37K30 58D05 70G45 PDF BibTeX XML Cite \textit{O. E. Hentosh} et al., Ukr. Math. J. 74, No. 9, 1348--1368 (2023; Zbl 1517.37078); translation from Ukr. Mat. Zh. 74, No. 9, 1182--1200 (2022) Full Text: DOI
Gaddis, Jason; Veerapen, Padmini; Wang, Xingting Reflection groups and rigidity of quadratic Poisson algebras. (English) Zbl 07679238 Algebr. Represent. Theory 26, No. 2, 329-358 (2023). MSC: 16W10 17B63 16W25 14R10 PDF BibTeX XML Cite \textit{J. Gaddis} et al., Algebr. Represent. Theory 26, No. 2, 329--358 (2023; Zbl 07679238) Full Text: DOI arXiv
Ovando, Gabriela P.; Subils, Mauro Magnetic trajectories on 2-step nilmanifolds. (English) Zbl 1516.70017 J. Geom. Anal. 33, No. 6, Paper No. 186, 28 p. (2023). MSC: 70G45 70G65 22E70 PDF BibTeX XML Cite \textit{G. P. Ovando} and \textit{M. Subils}, J. Geom. Anal. 33, No. 6, Paper No. 186, 28 p. (2023; Zbl 1516.70017) Full Text: DOI arXiv
Boutonnet, Rémi; Houdayer, Cyril The noncommutative factor theorem for lattices in product groups. (Le théorème du facteur non commutatif pour des réseaux dans des groupes produits.) (English. French summary) Zbl 07658645 J. Éc. Polytech., Math. 10, 513-524 (2023). MSC: 46L10 46L55 22E40 37A40 PDF BibTeX XML Cite \textit{R. Boutonnet} and \textit{C. Houdayer}, J. Éc. Polytech., Math. 10, 513--524 (2023; Zbl 07658645) Full Text: DOI arXiv
Alekseev, Anton; Hoffman, Benjamin; Lane, Jeremy; Li, Yanpeng Action-angle coordinates on coadjoint orbits and multiplicity free spaces from partial tropicalization. (English) Zbl 1510.37092 Adv. Math. 414, Article ID 108856, 84 p. (2023). MSC: 37J35 37J39 37J37 37J06 17B08 53D05 53D17 14T90 PDF BibTeX XML Cite \textit{A. Alekseev} et al., Adv. Math. 414, Article ID 108856, 84 p. (2023; Zbl 1510.37092) Full Text: DOI arXiv
Colombo, Leonardo; Stratoglou, Efstratios Lie-Poisson reduction for optimal control of left-invariant control systems with subgroup symmetry. (English) Zbl 07656156 Rep. Math. Phys. 91, No. 1, 131-141 (2023). MSC: 49-XX 93-XX PDF BibTeX XML Cite \textit{L. Colombo} and \textit{E. Stratoglou}, Rep. Math. Phys. 91, No. 1, 131--141 (2023; Zbl 07656156) Full Text: DOI
Panyushev, Dmitri I.; Yakimova, Oksana S. Automorphisms of finite order, periodic contractions, and Poisson-commutative subalgebras of \({\mathcal{S}}(\mathfrak{g})\). (English) Zbl 07653749 Math. Z. 303, No. 2, Paper No. 51, 30 p. (2023). MSC: 17B63 14L30 17B08 17B20 22E46 PDF BibTeX XML Cite \textit{D. I. Panyushev} and \textit{O. S. Yakimova}, Math. Z. 303, No. 2, Paper No. 51, 30 p. (2023; Zbl 07653749) Full Text: DOI arXiv
Cueca, Miquel; Zhu, Chenchang Shifted symplectic higher Lie groupoids and classifying spaces. (English) Zbl 1510.53094 Adv. Math. 413, Article ID 108829, 64 p. (2023). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 18N65 22E67 PDF BibTeX XML Cite \textit{M. Cueca} and \textit{C. Zhu}, Adv. Math. 413, Article ID 108829, 64 p. (2023; Zbl 1510.53094) Full Text: DOI arXiv
Hrdina, Jaroslav; Návrat, Aleš; Zalabová, Lenka On symmetries of a sub-Riemannian structure with growth vector \((4, 7)\). (English) Zbl 1508.53040 Ann. Mat. Pura Appl. (4) 202, No. 1, 293-306 (2023). Reviewer: Luca Rizzi (Udine) MSC: 53C17 22E60 35R03 70G45 70F25 PDF BibTeX XML Cite \textit{J. Hrdina} et al., Ann. Mat. Pura Appl. (4) 202, No. 1, 293--306 (2023; Zbl 1508.53040) Full Text: DOI arXiv
Ohsawa, Tomoki Shape dynamics of \(N\) point vortices on the sphere. (English) Zbl 1509.53092 Nonlinearity 36, No. 2, 1000-1028 (2023). MSC: 53D20 70G65 76B47 PDF BibTeX XML Cite \textit{T. Ohsawa}, Nonlinearity 36, No. 2, 1000--1028 (2023; Zbl 1509.53092) Full Text: DOI arXiv
Abdelwahab, Hani; Barreiro, Elisabete; Calderón, Antonio J.; Fernández Ouaridi, Amir The algebraic classification and degenerations of nilpotent Poisson algebras. (English) Zbl 1507.14005 J. Algebra 615, 243-277 (2023). Reviewer: Jason Gaddis (Oxford) MSC: 14A22 17B63 14D06 14L30 16W10 17B30 17A30 PDF BibTeX XML Cite \textit{H. Abdelwahab} et al., J. Algebra 615, 243--277 (2023; Zbl 1507.14005) Full Text: DOI
Fordy, Allan P.; Huang, Qing Integrable and superintegrable extensions of the rational Calogero-Moser model in three dimensions. (English) Zbl 1506.70019 J. Phys. A, Math. Theor. 55, No. 22, Article ID 225203, 36 p. (2022). MSC: 70H06 70G65 81R12 PDF BibTeX XML Cite \textit{A. P. Fordy} and \textit{Q. Huang}, J. Phys. A, Math. Theor. 55, No. 22, Article ID 225203, 36 p. (2022; Zbl 1506.70019) Full Text: DOI arXiv
Cap, A. Book review of: J. de Lucas and C. Sardón Muñoz, A guide to Lie systems with compatible geometric structures. (English) Zbl 1502.00020 Monatsh. Math. 199, No. 2, 456 (2022). MSC: 00A17 37-01 53-01 37Jxx 37Kxx 53Axx 53Dxx 70G65 70H33 70G45 PDF BibTeX XML Cite \textit{A. Cap}, Monatsh. Math. 199, No. 2, 456 (2022; Zbl 1502.00020) Full Text: DOI
Smilga, Andrei Comments on noncommutative quantum mechanical systems associated with Lie algebras. (English) Zbl 1502.81049 J. Geom. Phys. 180, Article ID 104628, 10 p. (2022). MSC: 81S05 81R60 58J42 17B05 17C20 35J05 51E20 PDF BibTeX XML Cite \textit{A. Smilga}, J. Geom. Phys. 180, Article ID 104628, 10 p. (2022; Zbl 1502.81049) Full Text: DOI arXiv
Pucci, Patrizia; Ye, Yiwei Existence of nontrivial solutions for critical Kirchhoff-Poisson systems in the Heisenberg group. (English) Zbl 1495.35175 Adv. Nonlinear Stud. 22, 361-371 (2022). MSC: 35R03 35A15 35J57 35J61 35R09 47J20 PDF BibTeX XML Cite \textit{P. Pucci} and \textit{Y. Ye}, Adv. Nonlinear Stud. 22, 361--371 (2022; Zbl 1495.35175) Full Text: DOI
Marsot, L. Planar Carrollean dynamics, and the Carroll quantum equation. (English) Zbl 1505.70039 J. Geom. Phys. 179, Article ID 104574, 17 p. (2022). MSC: 70G65 70G45 81S10 PDF BibTeX XML Cite \textit{L. Marsot}, J. Geom. Phys. 179, Article ID 104574, 17 p. (2022; Zbl 1505.70039) Full Text: DOI arXiv
Wong, M. W.; Yang, Shengwen Heat semigroups and inverses of twisted Laplacians on nonisotropic Heisenberg groups with multi-dimensional center. (English) Zbl 1496.35176 Pure Appl. Funct. Anal. 7, No. 3, 1065-1084 (2022). MSC: 35J05 35R03 PDF BibTeX XML Cite \textit{M. W. Wong} and \textit{S. Yang}, Pure Appl. Funct. Anal. 7, No. 3, 1065--1084 (2022; Zbl 1496.35176) Full Text: Link
Amirzadeh-Fard, H.; Haghighatdoost, Gh.; Rezaei-Aghdam, A. Jacobi-Lie Hamiltonian systems on real low-dimensional Jacobi-Lie groups and their Lie symmetries. (English) Zbl 1490.53095 J. Math. Phys. Anal. Geom. 18, No. 1, 33-56 (2022). MSC: 53D17 34C14 58A30 PDF BibTeX XML Cite \textit{H. Amirzadeh-Fard} et al., J. Math. Phys. Anal. Geom. 18, No. 1, 33--56 (2022; Zbl 1490.53095) Full Text: DOI arXiv
Sun, Xueqi; Song, Yueqiang Least-energy nodal solutions of critical Schrödinger-Poisson system on the Heisenberg group. (English) Zbl 1491.35186 Anal. Math. Phys. 12, No. 3, Paper No. 80, 28 p. (2022). MSC: 35J57 35J62 35R03 35A01 PDF BibTeX XML Cite \textit{X. Sun} and \textit{Y. Song}, Anal. Math. Phys. 12, No. 3, Paper No. 80, 28 p. (2022; Zbl 1491.35186) Full Text: DOI
Fehér, L. Bi-Hamiltonian structure of Sutherland models coupled to two \(\mathfrak{u}(n)^*\)-valued spins from Poisson reduction. (English) Zbl 1513.70063 Nonlinearity 35, No. 6, 2971-3003 (2022). MSC: 70H06 37J35 37K10 70G65 PDF BibTeX XML Cite \textit{L. Fehér}, Nonlinearity 35, No. 6, 2971--3003 (2022; Zbl 1513.70063) Full Text: DOI arXiv
Izosimov, Anton Pentagram maps and refactorization in Poisson-Lie groups. (English) Zbl 07537721 Adv. Math. 404, Part B, Article ID 108476, 46 p. (2022). MSC: 37J70 37J35 39A36 53D17 PDF BibTeX XML Cite \textit{A. Izosimov}, Adv. Math. 404, Part B, Article ID 108476, 46 p. (2022; Zbl 07537721) Full Text: DOI arXiv
Barrientos, José; Izaurieta, Fernando; Rodríguez, Eduardo; Valdivia, Omar Wave operators, torsion, and Weitzenböck identities. (English) Zbl 1495.83017 Gen. Relativ. Gravitation 54, No. 3, Paper No. 26, 33 p. (2022). MSC: 83C35 58A15 58J52 35J05 22E43 17B01 35C07 83C56 PDF BibTeX XML Cite \textit{J. Barrientos} et al., Gen. Relativ. Gravitation 54, No. 3, Paper No. 26, 33 p. (2022; Zbl 1495.83017) Full Text: DOI arXiv
Blackmore, Denis; Prykarpatsky, Yarema; Prytula, Mykola M.; Dutykh, Denys; Prykarpatski, Anatolij K. On the integrability of a new generalized Gurevich-Zybin dynamical system, its Hunter-Saxton type reduction and related mysterious symmetries. (English) Zbl 1515.37065 Anal. Math. Phys. 12, No. 2, Paper No. 66, 26 p. (2022). MSC: 37K10 37K06 70H33 76M60 35B06 PDF BibTeX XML Cite \textit{D. Blackmore} et al., Anal. Math. Phys. 12, No. 2, Paper No. 66, 26 p. (2022; Zbl 1515.37065) Full Text: DOI
Chatzakou, Marianna; Ruzhansky, Michael; Tokmagambetov, Niyaz Fractional Klein-Gordon equation with singular mass. II: Hypoelliptic case. (English) Zbl 1486.35145 Complex Var. Elliptic Equ. 67, No. 3, 615-632 (2022). Reviewer: Paolo Musolino (Padova) MSC: 35J05 43A70 35L05 35L03 35A01 35A02 PDF BibTeX XML Cite \textit{M. Chatzakou} et al., Complex Var. Elliptic Equ. 67, No. 3, 615--632 (2022; Zbl 1486.35145) Full Text: DOI arXiv
Liang, Sihua; Pucci, Patrizia Multiple solutions for critical Kirchhoff-Poisson systems in the Heisenberg group. (English) Zbl 1484.35365 Appl. Math. Lett. 127, Article ID 107846, 6 p. (2022). MSC: 35R03 35J57 35J62 PDF BibTeX XML Cite \textit{S. Liang} and \textit{P. Pucci}, Appl. Math. Lett. 127, Article ID 107846, 6 p. (2022; Zbl 1484.35365) Full Text: DOI
Springer, T. A. On symplectic transformations. (English) Zbl 1496.53090 Indag. Math., New Ser. 33, No. 1, 279-302 (2022). MSC: 53D22 53D05 22E15 37J39 37J11 PDF BibTeX XML Cite \textit{T. A. Springer}, Indag. Math., New Ser. 33, No. 1, 279--302 (2022; Zbl 1496.53090) Full Text: DOI arXiv
Chernov, Vladimir V. Graded Poisson algebras on bordism groups of garlands. (English) Zbl 1485.57025 Topology Appl. 305, Article ID 107919, 36 p. (2022). Reviewer: Xiaojun Chen (Chengdu) MSC: 57R19 57R45 55N22 55N45 55P99 57K20 17B63 17B70 57N70 57R85 PDF BibTeX XML Cite \textit{V. V. Chernov}, Topology Appl. 305, Article ID 107919, 36 p. (2022; Zbl 1485.57025) Full Text: DOI arXiv
Liu, Zeyi; Tao, Lulu; Zhang, Deli; Liang, Sihua; Song, Yueqiang Critical nonlocal Schrödinger-Poisson system on the Heisenberg group. (English) Zbl 1480.35182 Adv. Nonlinear Anal. 11, 482-502 (2022). MSC: 35J57 35R03 35A01 35A15 PDF BibTeX XML Cite \textit{Z. Liu} et al., Adv. Nonlinear Anal. 11, 482--502 (2022; Zbl 1480.35182) Full Text: DOI
Ballesteros, Angel; Campoamor-Stursberg, Rutwig; Fernández-Saiz, Eduardo; Herranz, Francisco J.; Lucas, Javier de Poisson-Hopf deformations of Lie-Hamilton systems revisited: deformed superposition rules and applications to the oscillator algebra. (English) Zbl 1519.70014 J. Phys. A, Math. Theor. 54, No. 20, Article ID 205202, 34 p. (2021). MSC: 70G45 17B80 34C14 37K30 70G65 PDF BibTeX XML Cite \textit{A. Ballesteros} et al., J. Phys. A, Math. Theor. 54, No. 20, Article ID 205202, 34 p. (2021; Zbl 1519.70014) Full Text: DOI arXiv
Tarama, Daisuke; Françoise, Jean-Pierre Information geometry and Hamiltonian systems on Lie groups. (English) Zbl 1494.37042 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 273-280 (2021). MSC: 37J39 37J06 70E15 70G65 53B12 62B11 94A15 PDF BibTeX XML Cite \textit{D. Tarama} and \textit{J.-P. Françoise}, Lect. Notes Comput. Sci. 12829, 273--280 (2021; Zbl 1494.37042) Full Text: DOI
Nobary, Elham; Hosseini, S. Mohammad A geometric numerical integration of Lie-Poisson system for ideal compressible isentropic fluid. (English) Zbl 1482.76093 Iran. J. Math. Sci. Inform. 16, No. 2, 197-208 (2021). MSC: 76M60 65D30 76N15 PDF BibTeX XML Cite \textit{E. Nobary} and \textit{S. M. Hosseini}, Iran. J. Math. Sci. Inform. 16, No. 2, 197--208 (2021; Zbl 1482.76093) Full Text: Link
Alekseev, Anton; Arzhakova, Elizaveta; Smirnova, Daria Stochastic differential equations for Lie group valued moment maps. (English) Zbl 1492.37056 Electron. Commun. Probab. 26, Paper No. 71, 9 p. (2021). MSC: 37H10 58J65 22E30 53D17 60J65 70G65 PDF BibTeX XML Cite \textit{A. Alekseev} et al., Electron. Commun. Probab. 26, Paper No. 71, 9 p. (2021; Zbl 1492.37056) Full Text: DOI arXiv
Elek, Balázs; Lu, Jiang-Hua Bott-Samelson varieties and Poisson Ore extensions. (English) Zbl 1518.22028 Int. Math. Res. Not. 2021, No. 14, 10745-10797 (2021). MSC: 22E46 14M15 17B63 20F55 PDF BibTeX XML Cite \textit{B. Elek} and \textit{J.-H. Lu}, Int. Math. Res. Not. 2021, No. 14, 10745--10797 (2021; Zbl 1518.22028) Full Text: DOI arXiv
Mouquin, Victor Local Poisson groupoids over mixed product Poisson structures and generalised double Bruhat cells. (English) Zbl 1485.53102 J. Symplectic Geom. 19, No. 4, 993-1045 (2021). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 PDF BibTeX XML Cite \textit{V. Mouquin}, J. Symplectic Geom. 19, No. 4, 993--1045 (2021; Zbl 1485.53102) Full Text: DOI arXiv
Huebschmann, Johannes On the history of Lie brackets, crossed modules, and Lie-Rinehart algebras. (English) Zbl 07453484 J. Geom. Mech. 13, No. 3, 385-402 (2021). MSC: 17-03 17B55 01A60 17B66 18G45 12G05 12H05 20J05 53-03 53D17 55Q15 58H05 PDF BibTeX XML Cite \textit{J. Huebschmann}, J. Geom. Mech. 13, No. 3, 385--402 (2021; Zbl 07453484) Full Text: DOI arXiv
Petrogradsky, Victor Identities in group rings, enveloping algebras and Poisson algebras. (English) Zbl 1491.16026 Di Vincenzo, Onofrio Mario (ed.) et al., Polynomial identities in algebras. Proceedings of the INDAM workshop, Roma, Italy, September 16–20, 2019. Cham: Springer. Springer INdAM Ser. 44, 335-354 (2021). Reviewer: Laurent Poinsot (Villetaneuse) MSC: 16R10 16S30 16S34 17B35 17B63 PDF BibTeX XML Cite \textit{V. Petrogradsky}, Springer INdAM Ser. 44, 335--354 (2021; Zbl 1491.16026) Full Text: DOI arXiv
Schempp, Walter J. Applications of metaplectic cohomology and global-local contact holonomy. (English) Zbl 1503.81048 J. Appl. Math. Comput. 65, No. 1-2, 1-66 (2021). MSC: 81S10 70G65 70G45 57R17 53C80 53C38 53C27 53C22 53C12 22E25 14H81 11E08 11G07 11R11 PDF BibTeX XML Cite \textit{W. J. Schempp}, J. Appl. Math. Comput. 65, No. 1--2, 1--66 (2021; Zbl 1503.81048) Full Text: DOI
Jurdjevic, V. Kowalewski top and complex Lie algebras. (English) Zbl 1483.70037 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 1483.70037) Full Text: DOI
Lang, Honglei; Li, Yanpeng; Liu, Zhangju Double principal bundles. (English) Zbl 1507.53079 J. Geom. Phys. 170, Article ID 104354, 19 p. (2021). MSC: 53D17 PDF BibTeX XML Cite \textit{H. Lang} et al., J. Geom. Phys. 170, Article ID 104354, 19 p. (2021; Zbl 1507.53079) Full Text: DOI arXiv
Panyushev, Dmitri I.; Yakimova, Oksana S. Compatible Poisson brackets associated with 2-splittings and Poisson commutative subalgebras of \(\mathcal{S} ( \mathfrak{g} )\). (English) Zbl 1511.17056 J. Lond. Math. Soc., II. Ser. 103, No. 4, 1577-1595 (2021). MSC: 17B63 14L30 17B08 17B20 22E46 PDF BibTeX XML Cite \textit{D. I. Panyushev} and \textit{O. S. Yakimova}, J. Lond. Math. Soc., II. Ser. 103, No. 4, 1577--1595 (2021; Zbl 1511.17056) Full Text: DOI arXiv
Majid, Shahn; Williams, Liam Poisson principal bundles. (English) Zbl 1472.58004 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 006, 23 p. (2021). Reviewer: Jean-Pierre Magnot (Clermont-Ferrand) MSC: 58B32 53D17 17B37 17B62 PDF BibTeX XML Cite \textit{S. Majid} and \textit{L. Williams}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 006, 23 p. (2021; Zbl 1472.58004) Full Text: DOI arXiv
Müller, Andreas On the Hamel coefficients and the Boltzmann-Hamel equations for the rigid body. (English) Zbl 1466.37051 J. Nonlinear Sci. 31, No. 2, Paper No. 40, 39 p. (2021). MSC: 37J60 37J39 70E60 70G45 70G65 70H33 37N05 70H03 53Z30 PDF BibTeX XML Cite \textit{A. Müller}, J. Nonlinear Sci. 31, No. 2, Paper No. 40, 39 p. (2021; Zbl 1466.37051) Full Text: DOI
Spies, Alexander Poisson-geometric analogues of Kitaev models. (English) Zbl 1464.81050 Commun. Math. Phys. 383, No. 1, 345-400 (2021). Reviewer: Farhang Loran (Isfahan) MSC: 81T40 53D50 81S10 53D17 58D27 14D21 16T05 17B63 PDF BibTeX XML Cite \textit{A. Spies}, Commun. Math. Phys. 383, No. 1, 345--400 (2021; Zbl 1464.81050) Full Text: DOI arXiv
Safronov, Pavel Poisson-Lie structures as shifted Poisson structures. (English) Zbl 1482.17052 Adv. Math. 381, Article ID 107633, 69 p. (2021). Reviewer: Princy Randriambololondrantomalala (Antananarivo) MSC: 17B63 PDF BibTeX XML Cite \textit{P. Safronov}, Adv. Math. 381, Article ID 107633, 69 p. (2021; Zbl 1482.17052) Full Text: DOI arXiv
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
Bambozzi, Federico; Murro, Simone On the uniqueness of invariant states. (English) Zbl 1453.81035 Adv. Math. 376, Article ID 107445, 38 p. (2021). Reviewer: Dmitry Artamonov (Moskva) MSC: 81R05 46L30 53D17 22E70 81R25 58J28 37A05 PDF BibTeX XML Cite \textit{F. Bambozzi} and \textit{S. Murro}, Adv. Math. 376, Article ID 107445, 38 p. (2021; Zbl 1453.81035) Full Text: DOI arXiv
Pavelka, Michal; Peshkov, Ilya; Klika, Václav On Hamiltonian continuum mechanics. (English) Zbl 1493.74009 Physica D 408, Article ID 132510, 19 p. (2020). MSC: 74A99 70H05 70H30 70G65 PDF BibTeX XML Cite \textit{M. Pavelka} et al., Physica D 408, Article ID 132510, 19 p. (2020; Zbl 1493.74009) Full Text: DOI arXiv
Fernández, Javier; Tori, Cora; Zuccalli, Marcela Lagrangian reduction of nonholonomic discrete mechanical systems by stages. (English) Zbl 1480.37074 J. Geom. Mech. 12, No. 4, 607-639 (2020). MSC: 37J60 37J39 37J06 70G45 70G65 70G75 PDF BibTeX XML Cite \textit{J. Fernández} et al., J. Geom. Mech. 12, No. 4, 607--639 (2020; Zbl 1480.37074) Full Text: DOI arXiv
Podobryaev, A. V. Coadjoint orbits of three-step free nilpotent Lie groups and time-optimal control problem. (English. Russian original) Zbl 1482.37101 Dokl. Math. 102, No. 1, 293-295 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 38-41 (2020). MSC: 37N35 22E25 22E30 37J39 58B20 93B27 PDF BibTeX XML Cite \textit{A. V. Podobryaev}, Dokl. Math. 102, No. 1, 293--295 (2020; Zbl 1482.37101); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 493, 38--41 (2020) Full Text: DOI
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
Mouquin, Victor Quantization of a Poisson structure on products of principal affine spaces. (English) Zbl 1485.53107 J. Noncommut. Geom. 14, No. 3, 1049-1074 (2020). Reviewer: Albert Sheu (Lawrence) MSC: 53D55 53D17 16T25 PDF BibTeX XML Cite \textit{V. Mouquin}, J. Noncommut. Geom. 14, No. 3, 1049--1074 (2020; Zbl 1485.53107) Full Text: DOI arXiv
Basquerotto, C. H. C. C.; Ruiz, A. On the reduction of nonlinear mechanical systems via moving frames: a bead on a rotating wire hoop and a spinning top. (English) Zbl 1457.70024 Acta Mech. 231, No. 12, 4867-4879 (2020). MSC: 70G45 70H33 70G65 PDF BibTeX XML Cite \textit{C. H. C. C. Basquerotto} and \textit{A. Ruiz}, Acta Mech. 231, No. 12, 4867--4879 (2020; Zbl 1457.70024) Full Text: DOI
Tiwari, Archana; Bhattacharyya, Debanjana; Pati, K. C. Controllabilty and stability analysis on a group associated with Black-Scholes equation. (English) Zbl 1457.93022 Arch. Control Sci. 30, No. 3, 553-573 (2020). MSC: 93B05 93C20 35J10 91G20 93D05 PDF BibTeX XML Cite \textit{A. Tiwari} et al., Arch. Control Sci. 30, No. 3, 553--573 (2020; Zbl 1457.93022) Full Text: DOI
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
Alioune, Brahim; Boucetta, Mohamed; Sid’Ahmed Lessiad, Ahmed On Riemann-Poisson Lie groups. (English) Zbl 07285962 Arch. Math., Brno 56, No. 4, 225-247 (2020). Reviewer: Liviu Popescu (Craiova) MSC: 53D17 22E05 22E60 PDF BibTeX XML Cite \textit{B. Alioune} et al., Arch. Math., Brno 56, No. 4, 225--247 (2020; Zbl 07285962) Full Text: DOI arXiv
Alekseev, Anton; Hoffman, Benjamin; Lane, Jeremy; Li, Yanpeng Concentration of symplectic volumes on Poisson homogeneous spaces. (English) Zbl 1509.53060 J. Symplectic Geom. 18, No. 5, 1197-1220 (2020). MSC: 53C30 53D17 57S10 PDF BibTeX XML Cite \textit{A. Alekseev} et al., J. Symplectic Geom. 18, No. 5, 1197--1220 (2020; Zbl 1509.53060) Full Text: DOI arXiv
Amirzadeh-Fard, H.; Haghighatdoost, G.; Kheradmandynia, P.; Rezaei-Aghdam, A. Jacobi structures on real two- and three-dimensional Lie groups and their Jacobi-Lie systems. (English. Russian original) Zbl 1476.22001 Theor. Math. Phys. 205, No. 2, 1393-1410 (2020); translation from Teor. Mat. Fiz. 205, No. 2, 171-189 (2020). Reviewer: Princy Randriambololondrantomalala (Antananarivo) MSC: 22E15 70G45 70H20 37J06 PDF BibTeX XML Cite \textit{H. Amirzadeh-Fard} et al., Theor. Math. Phys. 205, No. 2, 1393--1410 (2020; Zbl 1476.22001); translation from Teor. Mat. Fiz. 205, No. 2, 171--189 (2020) Full Text: DOI arXiv
Crooks, Peter; Roeser, Markus On the fibres of Mishchenko-Fomenko systems. (English) Zbl 1478.17029 Doc. Math. 25, 1195-1239 (2020). MSC: 17B80 17B20 17B63 22E46 14L30 PDF BibTeX XML Cite \textit{P. Crooks} and \textit{M. Roeser}, Doc. Math. 25, 1195--1239 (2020; Zbl 1478.17029) Full Text: DOI arXiv
Lu, Jiang-Hua; Yu, Shizhuo Bott-Samelson atlases, total positivity, and Poisson structures on some homogeneous spaces. (English) Zbl 1460.53073 Sel. Math., New Ser. 26, No. 5, Paper No. 70, 60 p. (2020). MSC: 53D17 22E46 PDF BibTeX XML Cite \textit{J.-H. Lu} and \textit{S. Yu}, Sel. Math., New Ser. 26, No. 5, Paper No. 70, 60 p. (2020; Zbl 1460.53073) Full Text: DOI arXiv
Xia, Qianqian A note on invariant generators for generalized subbundles. (English) Zbl 1473.70030 Differ. Geom. Appl. 72, Article ID 101660, 11 p. (2020). MSC: 70G65 70H45 53D17 PDF BibTeX XML Cite \textit{Q. Xia}, Differ. Geom. Appl. 72, Article ID 101660, 11 p. (2020; Zbl 1473.70030) Full Text: DOI
Aloui, Foued; Zaalani, Nadhem Compatibility conditions on the reduced Poisson-Lie group. (English) Zbl 1449.53034 Southeast Asian Bull. Math. 44, No. 2, 149-166 (2020). MSC: 53C20 53D17 58B20 PDF BibTeX XML Cite \textit{F. Aloui} and \textit{N. Zaalani}, Southeast Asian Bull. Math. 44, No. 2, 149--166 (2020; Zbl 1449.53034)
Kochubei, Anatoly N.; Kondratiev, Yuri Representations of the infinite-dimensional \(p\)-adic affine group. (English) Zbl 1441.22032 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 1, Article ID 2050002, 11 p. (2020). MSC: 22E66 60B15 PDF BibTeX XML Cite \textit{A. N. Kochubei} and \textit{Y. Kondratiev}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 1, Article ID 2050002, 11 p. (2020; Zbl 1441.22032) Full Text: DOI arXiv
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
Panyushev, Dmitri I.; Yakimova, Oksana S. Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties. (English) Zbl 1444.17005 Math. Z. 295, No. 1-2, 101-127 (2020). Reviewer: Salah Mehdi (Metz) MSC: 17B63 14L30 17B08 17B20 22E46 PDF BibTeX XML Cite \textit{D. I. Panyushev} and \textit{O. S. Yakimova}, Math. Z. 295, No. 1--2, 101--127 (2020; Zbl 1444.17005) Full Text: DOI arXiv
Strzelecki, Daniel Periodic solutions of symmetric Hamiltonian systems. (English) Zbl 1441.37062 Arch. Ration. Mech. Anal. 237, No. 2, 921-950 (2020). MSC: 37J25 37J39 70H14 PDF BibTeX XML Cite \textit{D. Strzelecki}, Arch. Ration. Mech. Anal. 237, No. 2, 921--950 (2020; Zbl 1441.37062) Full Text: DOI arXiv
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
Aloui, Foued; Zaalani, Nadhem Reduced Riemannian Poisson manifolds and Riemannian Poisson-Lie groups. (English) Zbl 1436.53060 Differ. Geom. Appl. 68, Article ID 101582, 18 p. (2020). MSC: 53D20 53D17 70G65 53B20 PDF BibTeX XML Cite \textit{F. Aloui} and \textit{N. Zaalani}, Differ. Geom. Appl. 68, Article ID 101582, 18 p. (2020; Zbl 1436.53060) Full Text: DOI
An, Yu-Cheng; Liu, Hairong The Schrödinger-Poisson type system involving a critical nonlinearity on the first Heisenberg group. (English) Zbl 1433.35442 Isr. J. Math. 235, No. 1, 385-411 (2020). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35R03 35H20 35J50 22E30 35B33 35J57 58E05 35B32 PDF BibTeX XML Cite \textit{Y.-C. An} and \textit{H. Liu}, Isr. J. Math. 235, No. 1, 385--411 (2020; Zbl 1433.35442) Full Text: DOI
García-Naranjo, Luis C.; Marrero, Juan C. The geometry of nonholonomic Chaplygin systems revisited. (English) Zbl 1477.37069 Nonlinearity 33, No. 3, 1297-1341 (2020). Reviewer: Božidar Jovanović (Beograd) MSC: 37J60 70F25 70G45 70G65 PDF BibTeX XML Cite \textit{L. C. García-Naranjo} and \textit{J. C. Marrero}, Nonlinearity 33, No. 3, 1297--1341 (2020; Zbl 1477.37069) Full Text: DOI arXiv
de Lucas, Javier; Sardón Muñoz, Cristina A guide to Lie systems with compatible geometric structures. (English) Zbl 1455.37001 Hackensack, NJ: World Scientific (ISBN 978-1-78634-697-1/hbk; 978-1-78634-699-5/ebook). xv, 408 p. (2020). Reviewer: Giovanni Rastelli (Vercelli) MSC: 37-01 53-01 37Jxx 37Kxx 53Axx 53Dxx 70G65 70H33 70G45 PDF BibTeX XML Cite \textit{J. de Lucas} and \textit{C. Sardón Muñoz}, A guide to Lie systems with compatible geometric structures. Hackensack, NJ: World Scientific (2020; Zbl 1455.37001) Full Text: DOI
Kaltsas, D. A.; Throumoulopoulos, G. N. 2D magnetofluid models constructed by a priori imposition of conservation laws. (English) Zbl 1486.76111 Phys. Lett., A 383, No. 10, 1031-1036 (2019). MSC: 76W05 76M60 70H33 PDF BibTeX XML Cite \textit{D. A. Kaltsas} and \textit{G. N. Throumoulopoulos}, Phys. Lett., A 383, No. 10, 1031--1036 (2019; Zbl 1486.76111) Full Text: DOI arXiv
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
Panyushev, Dmitri I.; Yakimova, Oksana S. Semi-direct products involving \(\mathrm{Sp}_{2n}\) or \(\mathrm{Spin}_n\) with free algebras of symmetric invariants. (English) Zbl 1436.17030 Gorelik, Maria (ed.) et al., Representations and nilpotent orbits of Lie algebraic systems. In honour of the 75th birthday of Tony Joseph. Based on the 2017 conferences “Algebraic Modes of Representations”, Weizmann Institute of Science, Rehovot, Israel, July 16–18, 2017 and University of Haifa, Haifa, Israel, July 19–13, 2017. Cham: Birkhäuser. Prog. Math. 330, 441-470 (2019). MSC: 17B63 14L30 17B20 22E46 PDF BibTeX XML Cite \textit{D. I. Panyushev} and \textit{O. S. Yakimova}, Prog. Math. 330, 441--470 (2019; Zbl 1436.17030) Full Text: DOI arXiv
Chirco, Goffredo; Laudato, Marco; Mele, Fabio M. Multi-symplectic Lie group thermodynamics for covariant field theories. (English) Zbl 1458.70008 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, 55-65 (2019). MSC: 70G45 53D20 PDF BibTeX XML Cite \textit{G. Chirco} et al., Lect. Notes Comput. Sci. 11712, 55--65 (2019; Zbl 1458.70008) Full Text: DOI Link
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
Kovalchuk, Vasyl; Gołubowska, Barbara; Mladenov, Ivaïlo Mechanics of infinitesimal test bodies on Delaunay surfaces: spheres and cylinders as limits of unduloids and their action-angle analysis. (English) Zbl 1434.53009 J. Geom. Symmetry Phys. 53, 55-84 (2019). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53A10 53A35 33E05 70E05 70G45 70G65 70H20 PDF BibTeX XML Cite \textit{V. Kovalchuk} et al., J. Geom. Symmetry Phys. 53, 55--84 (2019; Zbl 1434.53009) Full Text: DOI Euclid
Tanimura, Yoshinori An algebraic approach to Duflo’s polynomial conjecture in the nilpotent case. (English) Zbl 1441.22018 J. Lie Theory 29, No. 3, 839-879 (2019). Reviewer: Chao-Ping Dong (Changsha) MSC: 22E30 22E25 PDF BibTeX XML Cite \textit{Y. Tanimura}, J. Lie Theory 29, No. 3, 839--879 (2019; Zbl 1441.22018) Full Text: Link
Galajinsky, Anton Schwarzian mechanics via nonlinear realizations. (English) Zbl 1421.70003 Phys. Lett., B 795, 277-280 (2019). MSC: 70A05 70G65 70G45 PDF BibTeX XML Cite \textit{A. Galajinsky}, Phys. Lett., B 795, 277--280 (2019; Zbl 1421.70003) Full Text: DOI arXiv
Schempp, Walter J. Dynamic metaplectic spinor quantization: the projective correspondence for spectral dual pairs. (English) Zbl 1448.81388 J. Appl. Math. Comput. 59, No. 1-2, 545-584 (2019). MSC: 81S10 81T20 70G65 70G45 57R17 51N35 53C27 30F10 22E46 22E25 14H81 14H55 14H52 14M15 14N05 PDF BibTeX XML Cite \textit{W. J. Schempp}, J. Appl. Math. Comput. 59, No. 1--2, 545--584 (2019; Zbl 1448.81388) Full Text: DOI
Barrett, Dennis I.; Remsing, Claudiu C. A note on flat nonholonomic Riemannian structures on three-dimensional Lie groups. (English) Zbl 1469.70008 Beitr. Algebra Geom. 60, No. 3, 419-436 (2019). Reviewer: Clementina Mladenova (Sofia) MSC: 70G45 37J60 PDF BibTeX XML Cite \textit{D. I. Barrett} and \textit{C. C. Remsing}, Beitr. Algebra Geom. 60, No. 3, 419--436 (2019; Zbl 1469.70008) Full Text: DOI
Boyer, A.; Link, G.; Pittet, Ch. Ergodic boundary representations. (English) Zbl 1432.37007 Ergodic Theory Dyn. Syst. 39, No. 8, 2017-2047 (2019). Reviewer: Sophie Grivaux (Villeneuve d’Ascq) MSC: 37A30 47A35 22D40 PDF BibTeX XML Cite \textit{A. Boyer} et al., Ergodic Theory Dyn. Syst. 39, No. 8, 2017--2047 (2019; Zbl 1432.37007) Full Text: DOI arXiv
Fordy, Allan P.; Huang, Qing Generalised Darboux-Koenigs metrics and 3-dimensional superintegrable systems. (English) Zbl 1420.37038 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 037, 30 p. (2019). MSC: 37J35 37J15 70G45 70G65 70H06 PDF BibTeX XML Cite \textit{A. P. Fordy} and \textit{Q. Huang}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 037, 30 p. (2019; Zbl 1420.37038) Full Text: DOI arXiv
Frassek, Rouven; Pestun, Vasily A family of \(\mathrm{GL}_r\) multiplicative Higgs bundles on rational base. (English) Zbl 1464.16029 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 031, 42 p. (2019). MSC: 16T25 17B38 53D30 81R12 PDF BibTeX XML Cite \textit{R. Frassek} and \textit{V. Pestun}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 031, 42 p. (2019; Zbl 1464.16029) Full Text: DOI arXiv