Yan, Lin Lu; Yao, Yu Feng On Poisson algebra structure of the Schrödinger algebra in one and two dimensional space-time. (Chinese. English summary) Zbl 07938057 Acta Math. Sin., Chin. Ser. 67, No. 4, 652-665 (2024). MSC: 17B63 17B05 × Cite Format Result Cite Review PDF Full Text: DOI
Mikhailov, Alexander V.; Vanhaecke, Pol Commutative Poisson algebras from deformations of noncommutative algebras. (English) Zbl 07930028 Lett. Math. Phys. 114, No. 5, Paper No. 108, 51 p. (2024). MSC: 53D17 37J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sliżewska, Aneta Geometric structures related to a \(W^*\)-algebra. (English) Zbl 07928317 Ptak, Marek (ed.) et al., Operator and matrix theory, function spaces, and applications. Proceedings of the 33rd international workshop on operator theory and its applications, IWOTA 2022, Kraków, Poland, September 6–10, 2022. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 295, 351-364 (2024). MSC: 47C15 22A22 22E65 58B25 58H05 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Yang; Tang, Xiaomin Transposed Poisson structures on loop Heisenberg-Virasoro Lie algebra. (English) Zbl 07922269 Bull. Belg. Math. Soc. - Simon Stevin 31, No. 2, 238-249 (2024). MSC: 17A30 17B40 17B63 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández Ouaridi, A.; Navarro, R. M.; Towers, D. A. Abelian subalgebras and ideals of maximal dimension in Poisson algebras. (English) Zbl 07920071 J. Algebra 660, 680-704 (2024). MSC: 17A30 17B30 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Prykarpatski, Anatolij K.; Bovdi, Victor A. The Courant type algebroids, the coadjoint orbits, and related integrable flows. (English) Zbl 07919727 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XL, workshop, Białowieża, Poland, June 20–25, 2023. Cham: Birkhäuser. Trends Math., 441-452 (2024). MSC: 37-XX 53-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gekhtman, M.; Shapiro, M.; Vainshtein, A. A plethora of cluster structures on \(GL_n\). (English) Zbl 07913521 Memoirs of the American Mathematical Society 1486. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6970-2/pbk; 978-1-4704-7834-6/ebook). v, 104 p. (2024). MSC: 53-02 53D17 13F60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Garcia, Jorge S.; Ohsawa, Tomoki Controlled Lagrangians and stabilization of Euler-Poincaré equations with symmetry breaking nonholonomic constraints. (English) Zbl 07908395 J. Nonlinear Sci. 34, No. 5, Paper No. 91, 37 p. (2024). MSC: 70-XX 37J60 70E17 70G45 70F25 70G65 93D05 93D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Khudoyberdiyev, Abror; Yusupov, Bakhtiyor Local and 2-local \(\frac{1}{2}\)-derivations on finite-dimensional Lie algebras. (English) Zbl 07908372 Result. Math. 79, No. 5, Paper No. 210, 22 p. (2024). MSC: 17A30 17B40 17B61 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mikhailov, A.; Skrypnyk, T. Zhukovsky-Volterra top and quantisation ideals. (English) Zbl 07906323 Nucl. Phys., B 1006, Article ID 116648, 11 p. (2024). × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Guilai; Bai, Chengming Relative Poisson bialgebras and Frobenius Jacobi algebras. (English) Zbl 07902536 J. Noncommut. Geom. 18, No. 3, 995-1039 (2024). MSC: 17B63 17A36 18M70 17D25 17A40 37J39 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cloninger, Alexander; Mishne, Gal; Oslandsbotn, Andreas; Robertson, Sawyer J.; Wan, Zhengchao; Wang, Yusu Random walks, conductance, and resistance for the connection graph Laplacian. (English) Zbl 07900919 SIAM J. Matrix Anal. Appl. 45, No. 3, 1541-1572 (2024). Reviewer: Yilun Shang (Newcastle upon Tyne) MSC: 05C81 05C50 34B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaygorodov, Ivan Non-associative algebraic structures: classification and structure. (English) Zbl 1544.17001 Commun. Math. 32, No. 3, Paper No. 1, 62 p. (2024). MSC: 17-02 17A30 17A36 17A42 17A70 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ben Hassine, Abdelkader; Chtioui, Taoufik; Elhamdadi, Mohamed; Mabrouk, Sami Cohomology and deformations of left-symmetric Rinehart algebras. (English) Zbl 07900714 Commun. Math. 32, No. 2, Paper No. 7, 26 p. (2024). MSC: 17D25 53D17 17B70 17B56 14B12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sartayev, Bauyrzhan Some generalizations of the variety of transposed Poisson algebras. (English) Zbl 07900710 Commun. Math. 32, No. 2, Paper No. 3, 8 p. (2024). Reviewer: Ivan Kaygorodov (Covilhã) MSC: 17A30 17A50 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
de Olazábal, R.; Borrell, R.; Lehmkuhl, O. An algebraic global linelet preconditioner for incompressible flow solvers. (English) Zbl 07899006 J. Comput. Phys. 514, Article ID 113237, 31 p. (2024). MSC: 76Mxx 76Dxx 65Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Minaiev, P. Ye.; Pypka, O. O.; Shyshenko, I. V. On Poisson (2-3)-algebras which are finite-dimensional over the center. (English) Zbl 07889807 Res. Math. 32, No. 1, 118-133 (2024). MSC: 17B63 17A42 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Guilai; Bai, Chengming A Bialgebra theory for transposed Poisson algebras via anti-pre-Lie bialgebras and anti-pre-Lie Poisson bialgebras. (English) Zbl 07885853 Commun. Contemp. Math. 26, No. 8, Article ID 2350050, 49 p. (2024). MSC: 17A36 17A40 17B10 17B38 17B40 17B60 17B63 17D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gatse, S. C.; Mavambou, A. M.; Mikanou, O. M. Lie-Rinehart algebras on Kaehler differential and Poisson algebras cohomology. (English) Zbl 07861104 JP J. Algebra Number Theory Appl. 63, No. 2, 111-129 (2024). MSC: 17B99 57R30 × Cite Format Result Cite Review PDF Full Text: DOI
De Sole, Alberto; Kac, Victor G.; Valeri, Daniele Adler-Oevel-Ragnisco type operators and Poisson vertex algebras. (English) Zbl 07852685 Pure Appl. Math. Q. 20, No. 3, 1181-1249 (2024). Reviewer: Ma Wen-Xiu (Tampa) MSC: 17B63 17B08 17B80 37K10 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abramov, Viktor; Liivapuu, Olga Transposed Poisson superalgebra. (English) Zbl 07847095 Proc. Est. Acad. Sci. 73, No. 1, 50-59 (2024). MSC: 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
El-Nabulsi, Rami Ahmad; Anukool, Waranont Higher-order nonlinear dynamical systems and invariant Lagrangians on a Lie group: the case of nonlocal Hunter-Saxton type peakons. (English) Zbl 07843974 Qual. Theory Dyn. Syst. 23, No. 4, Paper No. 161, 24 p. (2024). MSC: 17B66 35Q05 70S05 × Cite Format Result Cite Review PDF Full Text: DOI
Derevianko, Anna; Vašík, Petr Solver-free optimal control for linear dynamical switched system by means of geometric algebra. (English) Zbl 1537.93361 Math. Methods Appl. Sci. 47, No. 3, 1274-1288 (2024). MSC: 93C30 93D30 93D05 93B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Luo, J.; Wang, S.-Q.; Wu, Q.-S. Poincaré duality for smooth Poisson algebras and BV structure on Poisson cohomology. (English) Zbl 07841515 J. Algebra 649, 169-211 (2024). MSC: 17B63 17B40 17B55 16E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lu, Daowei; Wang, Dingguo Fundamental theorem of Poisson Hopf module for weak Hopf algebras. (English) Zbl 07839606 J. Geom. Phys. 200, Article ID 105177, 12 p. (2024). MSC: 17B63 16T05 × Cite Format Result Cite Review PDF Full Text: DOI
Reitzner, Matthias; Römer, Tim; von Westenholz, Mandala Covariance matrices of length power functionals of random geometric graphs – an asymptotic analysis. (English) Zbl 1536.05415 Linear Algebra Appl. 691, 151-181 (2024). MSC: 05C80 05C50 05C10 60G55 60B20 15B52 60D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Dongfang; Liu, Guilai; Bai, Chengming Anti-dendriform algebras, new splitting of operations and Novikov-type algebras. (English) Zbl 07836808 J. Algebr. Comb. 59, No. 3, 661-696 (2024). MSC: 17A36 17A40 17B10 17B40 17B60 17B63 17D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Can On the stability of discrete-time homogeneous polynomial dynamical systems. (English) Zbl 07830989 Comput. Appl. Math. 43, No. 1, Paper No. 75, 15 p. (2024). MSC: 15A18 15A69 37N30 39A30 65P40 93D05 93D20 × Cite Format Result Cite Review PDF Full Text: DOI
Dobrogowska, Alina; Szajewska, Marzena Eigenvalue problem versus Casimir functions for Lie algebras. (English) Zbl 07830211 Anal. Math. Phys. 14, No. 2, Paper No. 33, 24 p. (2024). MSC: 17Bxx 37Jxx 53Dxx × Cite Format Result Cite Review PDF Full Text: DOI
Kaygorodov, Ivan; Khrypchenko, Mykola Transposed Poisson structures on the Lie algebra of upper triangular matrices. (English) Zbl 07828354 Port. Math. 81, No. 1-2, 135-149 (2024). MSC: 17A30 15B30 17B40 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kaygorodov, Ivan; Khrypchenko, Mykola Transposed Poisson structures on Lie incidence algebras. (English) Zbl 07828248 J. Algebra 647, 458-491 (2024). MSC: 17A30 15B30 17B40 17B63 16W25 06A11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Batakidis, Panagiotis; Petalidou, Fani Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids. (English) Zbl 1536.53157 J. Geom. Phys. 199, Article ID 105142, 31 p. (2024). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 53D17 53D18 53C07 53C05 58J10 58A12 58A15 58A40 16S32 16E45 17B56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Casals, Roger; Weng, Daping Microlocal theory of Legendrian links and cluster algebras. (English) Zbl 07822008 Geom. Topol. 28, No. 2, 901-1000 (2024). Reviewer: Sergiy Koshkin (Houston) MSC: 13F60 53D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Marché, Julien; Simon, Christopher-Lloyd Valuations on the character variety: Newton polytopes and residual Poisson bracket. (English) Zbl 1544.53085 Geom. Topol. 28, No. 2, 593-625 (2024). Reviewer: Thilo Kuessner (Eichstätt) MSC: 53D30 57K20 57M60 17B63 12J20 20E08 14M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kolesnikov, P. S.; Sartayev, B. K. On the special identities of Gelfand-Dorfman algebras. (English) Zbl 07815488 Exp. Math. 33, No. 1, 165-174 (2024). Reviewer: Ivan Kaygorodov (Covilhã) MSC: 17B60 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Beites, Patrícia Damas; Ferreira, Bruno Leonardo Macedo; Kaygorodov, Ivan Transposed Poisson structures. (English) Zbl 07812537 Result. Math. 79, No. 2, Paper No. 93, 29 p. (2024). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17A30 17B40 17B61 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Delduc, F.; Hoare, B.; Magro, M. Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories. (English) Zbl 1541.81070 J. Phys. A, Math. Theor. 57, No. 6, Article ID 065401, 39 p. (2024). MSC: 81Q80 81Q20 17B63 31A15 35Q41 37J35 22E70 16W10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Parker, Edward The Ricci decomposition of the inertia tensor for a rigid body in arbitrary spatial dimensions. (English) Zbl 1541.70005 Int. J. Theor. Phys. 63, No. 1, Paper No. 3, 11 p. (2024). MSC: 70E15 70G45 53Z05 15A75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Kaygorodov, Ivan; Khudoyberdiyev, Abror Transposed Poisson structures on solvable and perfect Lie algebras. (English) Zbl 07796339 J. Phys. A, Math. Theor. 57, No. 3, Article ID 035205, 19 p. (2024). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17A30 17B30 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ovando, Gabriela P.; Subils, Mauro Correction to: “Magnetic trajectories on 2-step nilmanifolds”. (English) Zbl 1529.70018 J. Geom. Anal. 34, No. 3, Paper No. 65, 2 p. (2024). MSC: 70G45 70G65 22E70 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández Ouaridi, Amir On the simple transposed Poisson algebras and Jordan superalgebras. (English) Zbl 1544.17056 J. Algebra 641, 173-198 (2024). Reviewer: Ivan Kaygorodov (Covilhã) MSC: 17C70 17B63 17A36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Askham, Travis; Borges, Carlos; Hoskins, Jeremy; Rachh, Manas Random walks in frequency and the reconstruction of obstacles with cavities from multi-frequency data. (English) Zbl 1530.65147 J. Sci. Comput. 98, No. 1, Paper No. 15, 26 p. (2024). MSC: 65N21 76Q05 35J05 49M41 65H10 65K10 65F05 65F22 35R30 35R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ikeda, Yasushi; Sharygin, Gerogy The argument shift method in universal enveloping algebra \(U \mathfrak{gl}_d\). (English) Zbl 1531.17010 J. Geom. Phys. 195, Article ID 105030, 11 p. (2024). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B35 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alekseev, Anton; Meinrenken, Eckhard On the coadjoint Virasoro action. (English) Zbl 1530.53081 J. Geom. Phys. 195, Article ID 105029, 32 p. (2024). Reviewer: Mee Seong Im (Annapolis) MSC: 53D17 17B68 53D05 53D12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Balseiro, Paula; Tereza, Danilo Machado Nonholonomic momentum map reduction and a Chaplygin-type foliation. arXiv:2409.05970 Preprint, arXiv:2409.05970 [math-ph] (2024). MSC: 70F25 70G45 70G65 53D20 × Cite Format Result Cite Full Text: arXiv
Ovando, Gabriela P.; Subils, Mauro Magnetic trajectories on Heisenberg nilmanifolds. arXiv:2407.05515 Preprint, arXiv:2407.05515 [math.DG] (2024). MSC: 70G45 22E25 53C99 70G65 × Cite Format Result Cite Full Text: arXiv OA License
Belrhazi, Malika; Mestdag, Tom Geodesic extensions of mechanical systems with nonholonomic constraints. arXiv:2404.11997 Preprint, arXiv:2404.11997 [math.DG] (2024). MSC: 37J06 37J60 53Z05 70G45 70G65 × Cite Format Result Cite Full Text: arXiv
Toussaint, Lauran; Zeiser, Florian Formal Poisson (co)homology of the Lefschetz singularity. arXiv:2403.16300 Preprint, arXiv:2403.16300 [math.SG] (2024). MSC: 53D17 12H05 × Cite Format Result Cite Full Text: arXiv
Muñoz-Lecanda, Miguel C.; Román-Roy, Narciso Geometry of Mechanics. arXiv:2401.12650 Preprint, arXiv:2401.12650 [math-ph] (2024). MSC: 53B20 53B21 53D05 53D10 53D20 53D22 53Z05 58A30 70A05 70F20 70F25 70G10 70G45 70G65 70G75 70H03 70H05 70H15 70H20 70H25 70H33 × Cite Format Result Cite Full Text: arXiv
Chen, Qiu Fan; Wu, Tong The Hom-Lie algebra structures on the twisted Schrödinger-Virasoro algebra. (Chinese. English summary) Zbl 07931713 Acta Math. Sin., Chin. Ser. 66, No. 4, 739-746 (2023). MSC: 17B60 17B63 17B65 × Cite Format Result Cite Review PDF Full Text: DOI
Avan, Jean; Frappat, Luc; Ragoucy, Eric A new integrable structure associated to the Camassa-Holm peakons. (English) Zbl 07906523 SciPost Phys. 15, No. 6, Paper No. 228, 14 p. (2023). MSC: 35Q35 76B15 76B25 16T25 17B63 35C08 37K10 37K35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zakharov, Anton Stanislavovich Simple Novikov-Poisson algebras. (Russian. English summary) Zbl 07896833 Sib. Èlektron. Mat. Izv. 20, No. 2, 1396-1404 (2023). MSC: 17A70 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Sachkov, Yury L.; Sachkova, Elena F. Abnormal extremals in the sub-Riemannian problem with growth vector \((2, 3, 5, 8, 14)\). (English) Zbl 1541.70018 Russ. J. Nonlinear Dyn. 19, No. 4, 559-573 (2023). MSC: 70G75 70G45 70G65 93B27 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Turdibaev, Rustam Poisson structure on the invariants of pairs of matrices. (English) Zbl 1543.17007 Albuquerque, Helena (ed.) et al., Non-associative algebras and related topics. NAART II. Selected papers based on the presentations at the 2nd conference, Coimbra, Portugal, July 18–22, 2022. Cham: Springer. Springer Proc. Math. Stat. 427, 137-146 (2023). Reviewer: Jason Gaddis (Oxford, OH) MSC: 17A32 16R30 17B63 × Cite Format Result Cite Review PDF Full Text: DOI
Laraiedh, Ismail; Silvestrov, Sergei Admissible Hom-Novikov-Poisson and Hom-Gelfand-Dorfman color Hom-algebras. (English) Zbl 1543.17039 Silvestrov, Sergei (ed.) et al., Non-commutative and non-associative algebra and analysis structures. SPAS 2019. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, Västerås, Sweden, September 30 – October 2, 2019. Cham: Springer. Springer Proc. Math. Stat. 426, 613-659 (2023). MSC: 17D30 17B61 17B63 16W10 17D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amri, Hanene; Makhlouf, Abdenacer On ternary (Hom-)Nambu-Poisson algebras. (English) Zbl 1537.17053 Silvestrov, Sergei (ed.) et al., Non-commutative and non-associative algebra and analysis structures. SPAS 2019. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, Västerås, Sweden, September 30 – October 2, 2019. Cham: Springer. Springer Proc. Math. Stat. 426, 17-32 (2023). MSC: 17D30 17B61 × Cite Format Result Cite Review PDF Full Text: DOI
Nurahemet, Bahargul; Ospanov, Myrzagali N. On \(2 \times 2\) positive matrices of \(\tau \)-measurable operators. (English) Zbl 07812145 Oper. Matrices 17, No. 3, 693-704 (2023). MSC: 46L51 46L52 47L05 × Cite Format Result Cite Review PDF Full Text: DOI
Borovskikh, A. V. Lie group geometry. Invariant metrics and dynamical systems, dual algebra, and their applications in the group analysis of a one-dimensional kinetic equation. (English. Russian original) Zbl 1530.70016 Theor. Math. Phys. 217, No. 1, 1528-1540 (2023); translation from Teor. Mat. Fiz. 217, No. 1, 127-141 (2023). MSC: 70G65 70G45 70S10 35B06 76M60 22E60 × Cite Format Result Cite Review PDF Full Text: DOI
Kassel, Adrien; Lévy, Thierry On the mean projection theorem for determinantal point processes. (English) Zbl 1533.60070 ALEA, Lat. Am. J. Probab. Math. Stat. 20, No. 1, 497-504 (2023). MSC: 60G55 15A75 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Izosimov, Anton; Beffa, Gloria Marí What is a lattice \(W\)-algebra? (English) Zbl 07794940 Int. Math. Res. Not. 2023, No. 19, 17021-17059 (2023). Reviewer: Nenad Manojlović (Faro) MSC: 17B80 17B63 22E30 39A70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alsalti-Baldellou, Àdel A.; Álvarez-Farré, Xavier; Trias, F. Xavier; Oliva, Assensi Exploiting spatial symmetries for solving Poisson’s equation. (English) Zbl 07788138 J. Comput. Phys. 486, Article ID 112133, 19 p. (2023). MSC: 65Fxx 65Yxx 65Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Brešar, Matej Functional identities and their applications. (English) Zbl 07787069 Bull. Math. Sci. 13, No. 3, Article ID 2330002, 73 p. (2023). Reviewer: Allan Berele (Chicago) MSC: 16R60 15A86 16N60 16R20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zakharov, A. S. A class of generalized derivations. (English. Russian original) Zbl 07786474 Algebra Logic 61, No. 6, 466-480 (2023); translation from Algebra Logika 61, No. 6, 87-705 (2022). MSC: 17-XX × Cite Format Result Cite Review PDF Full Text: DOI
Kawasetsu, Kazuya On the commutant of the principal subalgebra in the \(A_1\) lattice vertex algebra. (English) Zbl 1536.17044 Lett. Math. Phys. 113, No. 6, Paper No. 123, 18 p. (2023). MSC: 17B69 81T40 12H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Crooks, Peter; Röser, Markus On the singularities of Mishchenko-Fomenko systems. (English) Zbl 1543.17018 Transform. Groups 28, No. 4, 1477-1494 (2023). Reviewer: Meng-Kiat Chuah (Hsinchu) MSC: 17B20 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cigoli, Alan S.; Mancini, Manuel; Metere, Giuseppe On the representability of actions of Leibniz algebras and Poisson algebras. (English) Zbl 1539.17001 Proc. Edinb. Math. Soc., II. Ser. 66, No. 4, 998-1021 (2023). Reviewer: Ernest L. Stitzinger (Raleigh) MSC: 17A32 18E13 17B63 16B50 17A36 16W25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
León Sánchez, Omar; Sierra, Susan J. A Poisson basis theorem for symmetric algebras of infinite-dimensional Lie algebras. (English) Zbl 1542.17042 Ark. Mat. 61, No. 2, 375-412 (2023). MSC: 17B63 17B70 16P70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goodearl, K. R.; Yakimov, M. T. Cluster algebra structures on Poisson nilpotent algebras. (English) Zbl 1535.13001 Memoirs of the American Mathematical Society 1445. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6735-7/pbk; 978-1-4704-7631-1/ebook). v, 100 p. (2023). Reviewer: Radoslav M. Dimitrić (New York) MSC: 13-02 13F60 17B63 17B37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Neretin, Yu. A. On algebras of double cosets of symmetric groups with respect to Young subgroups. (English. Russian original) Zbl 1532.20020 Math. Notes 114, No. 4, 583-592 (2023); translation from Mat. Zametki 114, No. 4, 591-601 (2023). Reviewer: Omar Tout (Masqaṭ) MSC: 20C30 33C20 20F36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bakalov, Bojko; Villarreal, Juan J. Logarithmic vertex algebras and non-local Poisson vertex algebras. (English) Zbl 1539.17025 Commun. Math. Phys. 404, No. 1, 185-226 (2023). MSC: 17B69 17B63 81R10 81T40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
García-Beltrán, D.; Ruíz-Pantaleón, J. C.; Vorobiev, Yu. Poisson structures on trivial extension algebras. (English) Zbl 07752364 Bull. Braz. Math. Soc. (N.S.) 54, No. 4, Paper No. 54, 45 p. (2023). MSC: 17B63 17B60 53D17 16W25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhou, Han; Yang, Jiahe; Ying, Wenjun A kernel-free boundary integral method for the nonlinear Poisson-Boltzmann equation. (English) Zbl 07748032 J. Comput. Phys. 493, Article ID 112423, 22 p. (2023). MSC: 65Nxx 35Jxx 65Fxx × Cite Format Result Cite Review PDF Full Text: DOI
Zhelyabin, V. N.; Kolesnikov, P. S. Dual coalgebras of Jacobian \(n\)-Lie algebras over polynomial rings. (English. Russian original) Zbl 1537.17036 Sib. Math. J. 64, No. 5, 1153-1166 (2023); translation from Sib. Mat. Zh. 64, No. 5, 992-1008 (2023). MSC: 17B62 16W10 17A42 17B63 × Cite Format Result Cite Review PDF Full Text: DOI
Moukala, Norbert Mahoungou; Bossoto, Basile Guy Richard On Lie-Rinehart-Poisson algebras structures. (English) Zbl 1536.17034 Gulf J. Math. 15, No. 1, 131-145 (2023). Reviewer: Mohd Arif Raza (Rabigh) MSC: 17B63 16W25 16W10 17B66 × Cite Format Result Cite Review PDF Full Text: DOI
Plaksa, S. A.; Shpakivs’kyĭ, V. S. Integral theorems in finite-dimensional commutative algebra. (Ukrainian. English summary) Zbl 1538.30169 Zb. Pr. Inst. Mat. NAN Ukr. 20, No. 1, 911-946 (2023). MSC: 30G35 35J05 31A30 × Cite Format Result Cite Review PDF Full Text: DOI
Herbig, Hans-Christian; Chaparro Castañeda, Ana María Higher form brackets for even Nambu-Poisson algebras. (English) Zbl 1537.17038 Lett. Math. Phys. 113, No. 5, Paper No. 97, 42 p. (2023). MSC: 17B63 13D02 58A50 17B66 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sahin, Haydar Robot grasping and regrasping kinematics using Lie algebra, the geodesic, and Riemann curvature tensor. (English) Zbl 1526.70002 Arch. Control Sci. 33, No. 1, 5-23 (2023). MSC: 70B15 70G65 70G45 × Cite Format Result Cite Review PDF Full Text: DOI
Sharygin, G. Quasi-derivations on \(U\mathfrak{gl}_n\) and the argument shift method. (English) Zbl 1536.17018 Krasil’shchik, I. S. (ed.) et al., The diverse world of PDEs. Algebraic and cohomological aspects. Alexandre Vinogradov memorial conference. Diffieties, cohomological physics, and other animals, Independent University of Moscow and Moscow State University, Moscow, Russia, December 13–17, 2021. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 789, 197-208 (2023). Reviewer: Dmitry Artamonov (Moskva) MSC: 17B35 16S30 17B63 × Cite Format Result Cite Review PDF Full Text: DOI
Jurdjevic, V. Lie algebras and integrable systems: elastic curves and rolling geodesics. (English. Russian original) Zbl 1527.37065 Proc. Steklov Inst. Math. 321, 117-142 (2023); translation from Tr. Mat. Inst. Steklova 321, 128-155 (2023). MSC: 37J39 37J37 37J35 17B80 53C30 53A17 70G45 × Cite Format Result Cite Review PDF 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 1526.70001 J. Phys. A, Math. Theor. 56, No. 38, Article ID 385206, 25 p. (2023). MSC: 70-08 70G65 70H15 70G45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jia, Weizhen; Klinger, Marc S.; Leigh, Robert G. BRST cohomology is Lie algebroid cohomology. (English) Zbl 1531.81054 Nucl. Phys., B 994, Article ID 116317, 27 p. (2023). MSC: 81P55 15A75 53D17 47L30 22F30 81S05 37C05 17B10 81T50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caruso, Matías I.; Fernández, Javier; Tori, Cora; Zuccalli, Marcela Lagrangian reduction of forced discrete mechanical systems. (English) Zbl 1537.70020 J. Phys. A, Math. Theor. 56, No. 35, Article ID 355202, 25 p. (2023). MSC: 70G65 70G45 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pei, Yufeng; Sheng, Yunhe; Tang, Rong; Zhao, Kaiming Actions of monoidal categories and representations of Cartan type Lie algebras. (English) Zbl 1521.17014 J. Inst. Math. Jussieu 22, No. 5, 2367-2402 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B10 17B40 17B56 17B66 53D17 81R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mikhalev, Alexander A.; Mustafa, Manat; Umirbaev, Ualbai Representations via differential algebras and equationally Noetherian algebras. (English) Zbl 1531.12003 J. Algebra 633, 814-830 (2023). Reviewer: Plamen Koshlukov (Campinas) MSC: 12H05 17B63 17B66 17D25 16P40 17A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alfonsi, Luigi; Young, Charles Higher current algebras, homotopy Manin triples, and a rectilinear adelic complex. (English) Zbl 07725264 J. Geom. Phys. 191, Article ID 104903, 51 p. (2023). MSC: 53D17 17B63 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hoekstra, Douwe; Zeiser, Florian Poisson cohomology of 3D Lie algebras. (English) Zbl 1527.53069 J. Geom. Phys. 191, Article ID 104862, 38 p. (2023). Reviewer: Zhuo Chen (Beijing) MSC: 53D17 53D40 17B56 17B55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Singh, Karandeep J.; Zambon, Marco Stability of fixed points of Dirac structures. (English) Zbl 1528.17021 Lett. Math. Phys. 113, No. 4, Paper No. 82, 27 p. (2023). Reviewer: Iakovos Androulidakis (Athína) MSC: 17B70 53D17 58H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jedrzejewski, Franck Differential varieties, physics and topological invariants. (Variétés différentielles, physique et invariants topologiques.) (French) Zbl 07720947 Les Ulis: EDP Sciences (ISBN 978-2-7598-3142-5/pbk). 372 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53-01 58-01 53Bxx 53Cxx 53D05 53Z05 37J39 58Axx 58Jxx 70G45 83C05 83C10 83C15 83C20 83C35 × Cite Format Result Cite Review PDF Full Text: DOI
Kaygorodov, Ivan; Khrypchenko, Mykola Transposed Poisson structures on generalized Witt algebras and Block Lie algebras. (English) Zbl 1535.17003 Result. Math. 78, No. 5, Paper No. 186, 20 p. (2023). MSC: 17A30 17B40 17B61 17B63 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hilburn, Justin; Kamnitzer, Joel; Weekes, Alex BFN Springer theory. (English) Zbl 1519.17006 Commun. Math. Phys. 402, No. 1, 765-832 (2023). Reviewer: Mee Seong Im (Annapolis) MSC: 17B08 17B10 16G20 81T99 20G05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bai, Chengming; Bai, Ruipu; Guo, Li; Wu, Yong Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras. (English) Zbl 1530.17022 J. Algebra 632, 535-566 (2023). Reviewer: Ivan Kaygorodov (Covilhã) MSC: 17B63 17A36 18M70 17D25 17A40 37J39 53D17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Fang; Pan, Jie On 2nd-stage quantization of quantum cluster algebras. (English) Zbl 1527.13022 J. Algebra 631, 441-483 (2023). MSC: 13F60 46L65 17B63 × Cite Format Result Cite Review PDF Full Text: DOI
Agrebaoui, Boujemaâ; Basdouri, Imed; Boujelben, Maha The second cohomology spaces of \(\mathcal{K} (1)\) with coefficients in the superspace of weighted densities and deformations of the superspace of symbols on \(S^{1|1} \). (English) Zbl 1533.17024 Georgian Math. J. 30, No. 3, 321-327 (2023). MSC: 17B56 17B63 53D55 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Shanshan; Makhlouf, Abdenacer; Song, Lina On Hom-pre-Poisson algebras. (English) Zbl 1525.17021 J. Geom. Phys. 190, Article ID 104855, 15 p. (2023). MSC: 17B63 17B61 17B60 17A30 16T25 × Cite Format Result Cite Review PDF 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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Naurazbekova, Altyngul; Umirbaev, Ualbai Automorphisms of simple quotients of the Poisson and universal enveloping algebras of \(\mathrm{sl}_2\). (English) Zbl 1531.16017 J. Algebra Appl. 22, No. 7, Article ID 2350151, 22 p. (2023). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 16S30 17B63 16W20 17B40 17A36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abella, Álvaro Rodríguez; Leok, Melvin Discrete Dirac reduction of implicit Lagrangian systems with abelian symmetry groups. (English) Zbl 1523.37070 J. Geom. Mech. 15, No. 1, 319-356 (2023). Reviewer: Maxime Fairon (Glasgow) MSC: 37J51 37J39 37J06 37M15 70H45 70G65 70G75 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Louis, Ruben On symmetries of singular foliations. (English) Zbl 1522.53073 J. Geom. Phys. 189, Article ID 104833, 31 p. (2023). Reviewer: Liviu Popescu (Craiova) MSC: 53C12 17B66 58H05 53D17 57R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL