Fordy, Allan P.; Huang, Qing Stationary coupled KdV hierarchies and related Poisson structures. (English) Zbl 07799731 J. Geom. Phys. 197, Article ID 105079, 25 p. (2024). MSC: 35Q53 37J37 70H06 PDFBibTeX XMLCite \textit{A. P. Fordy} and \textit{Q. Huang}, J. Geom. Phys. 197, Article ID 105079, 25 p. (2024; Zbl 07799731) Full Text: DOI arXiv
Chuangchuang, Kang; Guilai, Liu; Zhuo, Wang; Shizhuo, Yu Manin triples and bialgebras of Left-Alia algebras associated to invariant theory. arXiv:2403.05339 Preprint, arXiv:2403.05339 [math.RA] (2024). MSC: 17A36 17A40 17B10 17B40 17B60 17B63 17D25 BibTeX Cite \textit{K. Chuangchuang} et al., ``Manin triples and bialgebras of Left-Alia algebras associated to invariant theory'', Preprint, arXiv:2403.05339 [math.RA] (2024) Full Text: arXiv OA License
Bloch, Anthony; Puiggalí, Marta Farré; de Diego, David Martín Metriplectic Euler-Poincaré equations: smooth and discrete dynamics. arXiv:2401.05220 Preprint, arXiv:2401.05220 [math-ph] (2024). MSC: 70G45 37J37 BibTeX Cite \textit{A. Bloch} et al., ``Metriplectic Euler-Poincar\'e equations: smooth and discrete dynamics'', Preprint, arXiv:2401.05220 [math-ph] (2024) Full Text: arXiv OA License
Rajeswari, V.; Nithiya, T. Co-cluster homotopy queuing model in nonlinear algebraic topological structure for improving poison distribution network communication. (English) Zbl 07785925 J. Appl. Math. Inform. 41, No. 4, 861-868 (2023). MSC: 34A34 46M20 58D29 70G60 PDFBibTeX XMLCite \textit{V. Rajeswari} and \textit{T. Nithiya}, J. Appl. Math. Inform. 41, No. 4, 861--868 (2023; Zbl 07785925) Full Text: DOI
Kouloukas, Theodoros E. Discrete integrable systems associated with relativistic collisions. (English) Zbl 07767813 Physica D 456, Article ID 133937, 7 p. (2023). MSC: 37J70 37J37 16T25 39A36 PDFBibTeX XMLCite \textit{T. E. Kouloukas}, Physica D 456, Article ID 133937, 7 p. (2023; Zbl 07767813) Full Text: DOI arXiv
Bozec, Tristan; Calaque, Damien; Scherotzke, Sarah Calabi-Yau structures on (quasi-)bisymplectic algebras. (English) Zbl 1526.53078 Forum Math. Sigma 11, Paper No. e87, 32 p. (2023). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D17 32Q25 14A20 14J32 53D20 16E40 PDFBibTeX XMLCite \textit{T. Bozec} et al., Forum Math. Sigma 11, Paper No. e87, 32 p. (2023; Zbl 1526.53078) Full Text: DOI arXiv OA License
Fairon, M.; Fehér, L. Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of \({\mathrm{U}}(n)\). (English) Zbl 07739162 Ann. Henri Poincaré 24, No. 10, 3461-3529 (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37J35 37J39 37J37 17B80 53D17 PDFBibTeX XMLCite \textit{M. Fairon} and \textit{L. Fehér}, Ann. Henri Poincaré 24, No. 10, 3461--3529 (2023; Zbl 07739162) Full Text: DOI arXiv OA License
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 PDFBibTeX XMLCite \textit{V. Jurdjevic}, Proc. Steklov Inst. Math. 321, 117--142 (2023; Zbl 1527.37065); translation from Tr. Mat. Inst. Steklova 321, 128--155 (2023) Full Text: DOI
Xiao, Husileng On finite-dimensional representations of finite \(W\)-superalgebras. (English) Zbl 07726225 Sci. China, Math. 66, No. 8, 1737-1750 (2023). MSC: 17B10 17B63 17B69 PDFBibTeX XMLCite \textit{H. Xiao}, Sci. China, Math. 66, No. 8, 1737--1750 (2023; Zbl 07726225) Full Text: DOI arXiv
Bertola, M.; Korotkin, D. Extended Goldman symplectic structure in Fock-Goncharov coordinates. (English) Zbl 1528.53076 J. Differ. Geom. 124, No. 3, 397-442 (2023). Reviewer: Suhyoung Choi (Daejeon) MSC: 53D30 32G15 57M50 14D20 PDFBibTeX XMLCite \textit{M. Bertola} and \textit{D. Korotkin}, J. Differ. Geom. 124, No. 3, 397--442 (2023; Zbl 1528.53076) Full Text: DOI arXiv Link
de Lucas, Javier; Rivas, Xavier Contact Lie systems: theory and applications. (English) Zbl 07722236 J. Phys. A, Math. Theor. 56, No. 33, Article ID 335203, 37 p. (2023). Reviewer: Princy Randriambololondrantomalala (Antananarivo) MSC: 37J55 37J37 37J39 17B62 53D10 PDFBibTeX XMLCite \textit{J. de Lucas} and \textit{X. Rivas}, J. Phys. A, Math. Theor. 56, No. 33, Article ID 335203, 37 p. (2023; Zbl 07722236) Full Text: DOI
Jovanović, Božidar; Šukilović, Tijana; Vukmirović, Srdjan Integrable systems associated to the filtrations of Lie algebras. (English) Zbl 1527.37059 Regul. Chaotic Dyn. 28, No. 1, 44-61 (2023). Reviewer: Danilo Latini (Roma) MSC: 37J35 37J37 17B63 17B80 53D20 PDFBibTeX XMLCite \textit{B. Jovanović} et al., Regul. Chaotic Dyn. 28, No. 1, 44--61 (2023; Zbl 1527.37059) Full Text: DOI
Veselov, A. P.; Ye, Y. Quantum Bianchi-VII problem, Mathieu functions and arithmetic. (English) Zbl 1521.37062 J. Geom. Phys. 189, Article ID 104830, 10 p. (2023). Reviewer: Oleg Karpenkov (Liverpool) MSC: 37J39 37J35 37J37 53C21 58J50 PDFBibTeX XMLCite \textit{A. P. Veselov} and \textit{Y. Ye}, J. Geom. Phys. 189, Article ID 104830, 10 p. (2023; Zbl 1521.37062) 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 PDFBibTeX XMLCite \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
Tang, Qian; Xu, Xiaomeng Stokes phenomenon and Poisson brackets in r-matrix form. (English) Zbl 1522.37071 J. Geom. Phys. 188, Article ID 104809, 9 p. (2023). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 37J37 34M35 34M40 17B63 37J06 33C15 37J38 PDFBibTeX XMLCite \textit{Q. Tang} and \textit{X. Xu}, J. Geom. Phys. 188, Article ID 104809, 9 p. (2023; Zbl 1522.37071) Full Text: DOI
Fairon, Maxime; McCulloch, Colin Around Van den Bergh’s double brackets for different bimodule structures. (English) Zbl 07664537 Commun. Algebra 51, No. 4, 1673-1706 (2023). Reviewer: Jason Gaddis (Oxford) MSC: 16S38 16W10 17B63 PDFBibTeX XMLCite \textit{M. Fairon} and \textit{C. McCulloch}, Commun. Algebra 51, No. 4, 1673--1706 (2023; Zbl 07664537) 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 PDFBibTeX XMLCite \textit{A. Alekseev} et al., Adv. Math. 414, Article ID 108856, 84 p. (2023; Zbl 1510.37092) 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 PDFBibTeX XMLCite \textit{H. Abdelwahab} et al., J. Algebra 615, 243--277 (2023; Zbl 1507.14005) Full Text: DOI
Liu, Guilai; Bai, Chengming New splittings of operations of Poisson algebras and transposed Poisson algebras and related algebraic structures. arXiv:2310.08299 Preprint, arXiv:2310.08299 [math.QA] (2023). MSC: 17A36 17A40 17B10 17B40 17B60 17B63 17D25 BibTeX Cite \textit{G. Liu} and \textit{C. Bai}, ``New splittings of operations of Poisson algebras and transposed Poisson algebras and related algebraic structures'', Preprint, arXiv:2310.08299 [math.QA] (2023) Full Text: DOI arXiv OA License
Liu, Guilai; Bai, Chengming A bialgebra theory for transposed Poisson algebras via anti-pre-Lie bialgebras and anti-pre-Lie-Poisson bialgebras. arXiv:2309.16174 Preprint, arXiv:2309.16174 [math.QA] (2023). MSC: 17A36 17A40 17B10 17B38 17B40 17B60 17B63 17D25 BibTeX Cite \textit{G. Liu} and \textit{C. Bai}, ``A bialgebra theory for transposed Poisson algebras via anti-pre-Lie bialgebras and anti-pre-Lie-Poisson bialgebras'', Preprint, arXiv:2309.16174 [math.QA] (2023) Full Text: DOI arXiv OA License
Chirvasitu, Alexandru Compactified symplectic leaves in bundle moduli spaces. arXiv:2308.06751 Preprint, arXiv:2308.06751 [math.AG] (2023). MSC: 14H60 14H52 14C17 14C15 19L10 53D17 14J42 53D30 15A63 BibTeX Cite \textit{A. Chirvasitu}, ``Compactified symplectic leaves in bundle moduli spaces'', Preprint, arXiv:2308.06751 [math.AG] (2023) Full Text: arXiv OA License
Bozec, Tristan; Fairon, Maxime; Moreau, Anne Functorial constructions related to double Poisson vertex algebras. arXiv:2307.06071 Preprint, arXiv:2307.06071 [math.RT] (2023). MSC: 17B63 17B69 14L30 16S38 BibTeX Cite \textit{T. Bozec} et al., ``Functorial constructions related to double Poisson vertex algebras'', Preprint, arXiv:2307.06071 [math.RT] (2023) Full Text: arXiv OA License
Blohmann, Christian; Ronchi, Stefano; Weinstein, Alan Hamiltonian Lie algebroids over Poisson manifolds. arXiv:2304.03503 Preprint, arXiv:2304.03503 [math.SG] (2023). MSC: 53D17 53D20 37J06 37J37 BibTeX Cite \textit{C. Blohmann} et al., ``Hamiltonian Lie algebroids over Poisson manifolds'', Preprint, arXiv:2304.03503 [math.SG] (2023) Full Text: arXiv OA License
Marquette, I.; Quesne, C. Dynamical symmetry algebras of two superintegrable two-dimensional systems. (English) Zbl 1520.81086 J. Phys. A, Math. Theor. 55, No. 41, Article ID 415203, 17 p. (2022). MSC: 81Q80 37J35 37J39 37J37 PDFBibTeX XMLCite \textit{I. Marquette} and \textit{C. Quesne}, J. Phys. A, Math. Theor. 55, No. 41, Article ID 415203, 17 p. (2022; Zbl 1520.81086) Full Text: DOI arXiv
Ballico, Eduardo; Gasparim, Elizabeth; Köppe, Thomas; Suzuki, Bruno Poisson structures on the conifold and local Calabi-Yau threefolds. (English) Zbl 07633033 Rep. Math. Phys. 90, No. 3, 299-324 (2022). MSC: 53-XX 14-XX PDFBibTeX XMLCite \textit{E. Ballico} et al., Rep. Math. Phys. 90, No. 3, 299--324 (2022; Zbl 07633033) Full Text: DOI arXiv
Moukala, N. Mahoungou; Milounguidi, M. M.; Bossoto, B. G. R. Jacobi structures on a Lie-Rinehart algebra. (English) Zbl 1513.53142 JP J. Geom. Topol. 28, 55-79 (2022). MSC: 53D17 17B63 37J37 PDFBibTeX XMLCite \textit{N. M. Moukala} et al., JP J. Geom. Topol. 28, 55--79 (2022; Zbl 1513.53142) Full Text: DOI
Das, Sourav Relative log-symplectic structure on a semi-stable degeneration of moduli of Higgs bundles. (English) Zbl 1505.14024 Adv. Math. 410, Part B, Article ID 108756, 61 p. (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14D20 14H60 53D30 14A21 53D17 PDFBibTeX XMLCite \textit{S. Das}, Adv. Math. 410, Part B, Article ID 108756, 61 p. (2022; Zbl 1505.14024) Full Text: DOI arXiv
Bouaziz, Emile Tamarkin-Tsygan calculus and chiral Poisson cohomology. (English) Zbl 1521.17070 Nagoya Math. J. 248, 751-765 (2022). MSC: 17B69 14A22 17B63 PDFBibTeX XMLCite \textit{E. Bouaziz}, Nagoya Math. J. 248, 751--765 (2022; Zbl 1521.17070) Full Text: DOI arXiv
Jayawardana, Buddhika; Morrison, Philip J.; Ohsawa, Tomoki Clebsch canonization of Lie-Poisson systems. (English) Zbl 07604344 J. Geom. Mech. 14, No. 4, 635-658 (2022). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 37J39 37J37 37M15 53D20 70G45 PDFBibTeX XMLCite \textit{B. Jayawardana} et al., J. Geom. Mech. 14, No. 4, 635--658 (2022; Zbl 07604344) Full Text: DOI arXiv
Lim, Yongdo Smooth dependence of fixed points of Hamiltonians. (English) Zbl 1500.37041 Linear Algebra Appl. 655, 87-99 (2022). MSC: 37J37 37J38 37J39 15A23 PDFBibTeX XMLCite \textit{Y. Lim}, Linear Algebra Appl. 655, 87--99 (2022; Zbl 1500.37041) Full Text: DOI
Fairon, Maxime; Fernández, David Euler continuants in noncommutative quasi-Poisson geometry. (English) Zbl 1518.53064 Forum Math. Sigma 10, Paper No. e88, 54 p. (2022). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 53D30 53D17 53D20 16G20 34M55 14A22 17B63 PDFBibTeX XMLCite \textit{M. Fairon} and \textit{D. Fernández}, Forum Math. Sigma 10, Paper No. e88, 54 p. (2022; Zbl 1518.53064) Full Text: DOI arXiv
Tikaradze, Akaki On the isomorphism problem for the rings of differential operators on smooth affine varieties. (English) Zbl 1503.14056 J. Algebra 612, 248-255 (2022). Reviewer: Alexei Kanel-Belov (Ramat-Gan) MSC: 14R10 16S32 PDFBibTeX XMLCite \textit{A. Tikaradze}, J. Algebra 612, 248--255 (2022; Zbl 1503.14056) Full Text: DOI arXiv
Liu, Guilai; Bai, Chengming Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras. (English) Zbl 1522.17008 J. Algebra 609, 337-379 (2022). Reviewer: Ivan Kaygorodov (Covilhã) MSC: 17A36 17A40 17B10 17B40 17B60 17B63 17D25 PDFBibTeX XMLCite \textit{G. Liu} and \textit{C. Bai}, J. Algebra 609, 337--379 (2022; Zbl 1522.17008) Full Text: DOI arXiv
Izosimov, Anton Dimers, networks, and cluster integrable systems. (English) Zbl 1493.37074 Geom. Funct. Anal. 32, No. 4, 861-880 (2022). MSC: 37J35 53D17 82B20 37K30 13F60 PDFBibTeX XMLCite \textit{A. Izosimov}, Geom. Funct. Anal. 32, No. 4, 861--880 (2022; Zbl 1493.37074) Full Text: DOI arXiv
Meinrenken, Eckhard Quotients of double vector bundles and multigraded bundles. (English) Zbl 1503.53150 J. Geom. Mech. 14, No. 2, 307-329 (2022). Reviewer: Miguel Paternain (Montevideo) MSC: 53D17 55R65 53C05 PDFBibTeX XMLCite \textit{E. Meinrenken}, J. Geom. Mech. 14, No. 2, 307--329 (2022; Zbl 1503.53150) Full Text: DOI arXiv
Gaddis, Jason; Wang, Xingting; Yee, Daniel Cancellation and skew cancellation for Poisson algebras. (English) Zbl 1505.17015 Math. Z. 301, No. 4, 3503-3523 (2022). Reviewer: Liviu Popescu (Craiova) MSC: 17B63 16S36 16P99 16W20 16S38 14R10 16W25 PDFBibTeX XMLCite \textit{J. Gaddis} et al., Math. Z. 301, No. 4, 3503--3523 (2022; Zbl 1505.17015) Full Text: DOI arXiv
Casati, Matteo; Wang, Jing Ping Hamiltonian structures for integrable nonabelian difference equations. (English) Zbl 1501.37069 Commun. Math. Phys. 392, No. 1, 219-278 (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K06 37K30 53D17 17B80 PDFBibTeX XMLCite \textit{M. Casati} and \textit{J. P. Wang}, Commun. Math. Phys. 392, No. 1, 219--278 (2022; Zbl 1501.37069) Full Text: DOI arXiv
Haugseng, Rune; Melani, Valerio; Safronov, Pavel Shifted coisotropic correspondences. (English) Zbl 1494.14003 J. Inst. Math. Jussieu 21, No. 3, 785-849 (2022). Reviewer: Theo Johnson-Freyd (Waterloo) MSC: 14A20 17B63 18N70 PDFBibTeX XMLCite \textit{R. Haugseng} et al., J. Inst. Math. Jussieu 21, No. 3, 785--849 (2022; Zbl 1494.14003) 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 PDFBibTeX XMLCite \textit{D. Blackmore} et al., Anal. Math. Phys. 12, No. 2, Paper No. 66, 26 p. (2022; Zbl 1515.37065) Full Text: DOI
Tempesta, Piergiulio; Tondo, Giorgio Correction to: “Haantjes algebras of classical integrable systems”. (English) Zbl 07495328 Ann. Mat. Pura Appl. (4) 201, No. 1, 91 (2022). MSC: 37J35 37J39 37J37 53D05 35Q53 PDFBibTeX XMLCite \textit{P. Tempesta} and \textit{G. Tondo}, Ann. Mat. Pura Appl. (4) 201, No. 1, 91 (2022; Zbl 07495328) Full Text: DOI
Tempesta, Piergiulio; Tondo, Giorgio Haantjes algebras of classical integrable systems. (English) Zbl 1525.37060 Ann. Mat. Pura Appl. (4) 201, No. 1, 57-90 (2022); correction ibid. 201, No. 1, 91 (2022). MSC: 37J35 37J39 37J37 53D05 35Q53 PDFBibTeX XMLCite \textit{P. Tempesta} and \textit{G. Tondo}, Ann. Mat. Pura Appl. (4) 201, No. 1, 57--90 (2022; Zbl 1525.37060) Full Text: DOI arXiv
Esen, Ogul; Özcan, Gökhan; Sütlü, Serkan On extensions, Lie-Poisson systems, and dissipation. (English) Zbl 1495.37050 J. Lie Theory 32, No. 2, 327-382 (2022). Reviewer: Nenad Manojlović (Faro) MSC: 37J37 37J06 53D17 37K30 PDFBibTeX XMLCite \textit{O. Esen} et al., J. Lie Theory 32, No. 2, 327--382 (2022; Zbl 1495.37050) Full Text: arXiv Link
Bertola, M.; Tarricone, S. Stokes manifolds and cluster algebras. (English) Zbl 1484.13050 Commun. Math. Phys. 390, No. 3, 1413-1457 (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 13F60 34M40 37K10 37K20 37K25 37K30 53D18 PDFBibTeX XMLCite \textit{M. Bertola} and \textit{S. Tarricone}, Commun. Math. Phys. 390, No. 3, 1413--1457 (2022; Zbl 1484.13050) Full Text: DOI arXiv
Geudens, Stephane; Zambon, Marco Deformations of Lagrangian submanifolds in log-symplectic manifolds. (English) Zbl 1493.53104 Adv. Math. 397, Article ID 108202, 85 p. (2022). Reviewer: Albert Sheu (Lawrence) MSC: 53D12 53D17 58H15 16E45 PDFBibTeX XMLCite \textit{S. Geudens} and \textit{M. Zambon}, Adv. Math. 397, Article ID 108202, 85 p. (2022; Zbl 1493.53104) Full Text: DOI arXiv
Laurent-Gengoux, Camille; Louis, Ruben Lie-Rinehart algebras \(\simeq\) acyclic Lie \(\infty \)-algebroids. (English) Zbl 1482.18016 J. Algebra 594, 1-53 (2022). Reviewer: Iakovos Androulidakis (Athína) MSC: 18N99 53C12 55U35 16S38 16W10 17B60 53D17 PDFBibTeX XMLCite \textit{C. Laurent-Gengoux} and \textit{R. Louis}, J. Algebra 594, 1--53 (2022; Zbl 1482.18016) Full Text: DOI arXiv
Gao, Dongfang; Liu, Guilai; Bai, Chengming Anti-dendriform algebras, new splitting of operations and Novikov type algebras. arXiv:2209.08962 Preprint, arXiv:2209.08962 [math.RA] (2022). MSC: 17A36 17A40 17B10 17B40 17B60 17B63 17D25 BibTeX Cite \textit{D. Gao} et al., ``Anti-dendriform algebras, new splitting of operations and Novikov type algebras'', Preprint, arXiv:2209.08962 [math.RA] (2022) Full Text: DOI arXiv OA License
Corradini, Alexia Equivariant localisation in the theory of \(Z\)-stability for Kähler manifolds. arXiv:2209.05848 Preprint, arXiv:2209.05848 [math.DG] (2022). MSC: 37J39 53C65 58E11 32Q26 37J06 37J38 57R91 BibTeX Cite \textit{A. Corradini}, ``Equivariant localisation in the theory of $Z$-stability for K\"ahler manifolds'', Preprint, arXiv:2209.05848 [math.DG] (2022) Full Text: arXiv OA License
Gubarev, V.; Sartayev, B. K. Free special Gelfand-Dorfman algebra. arXiv:2208.10147 Preprint, arXiv:2208.10147 [math.RA] (2022). MSC: 17B63 37K30 08B20 BibTeX Cite \textit{V. Gubarev} and \textit{B. K. Sartayev}, ``Free special Gelfand-Dorfman algebra'', Preprint, arXiv:2208.10147 [math.RA] (2022) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \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
Haghighatdoost, Gh.; Abdolhadi-Zangakani, S.; Abedi-Fardad, J. Compatible Poisson structures and bi-Hamiltonian systems related to low-dimensional Lie algebras. (English) Zbl 1497.37059 J. Nonlinear Math. Phys. 28, No. 2, 194-204 (2021). MSC: 37J06 37J37 PDFBibTeX XMLCite \textit{Gh. Haghighatdoost} et al., J. Nonlinear Math. Phys. 28, No. 2, 194--204 (2021; Zbl 1497.37059) Full Text: DOI
Valvo, Lorenzo; Vittot, Michel Hamiltonian perturbation theory on a Lie algebra: application to a non-autonomous symmetric top. (English) Zbl 1492.37061 Discontin. Nonlinearity Complex. 10, No. 3, 347-367 (2021). MSC: 37J37 37J40 37J65 70E17 70G45 PDFBibTeX XMLCite \textit{L. Valvo} and \textit{M. Vittot}, Discontin. Nonlinearity Complex. 10, No. 3, 347--367 (2021; Zbl 1492.37061) Full Text: DOI arXiv
Reshetikhin, Nicolai; Schrader, Gus Superintegrability of generalized Toda models on symmetric spaces. (English) Zbl 1497.37067 Int. Math. Res. Not. 2021, No. 17, 12993-13010 (2021). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J35 37J39 37J37 53D17 PDFBibTeX XMLCite \textit{N. Reshetikhin} and \textit{G. Schrader}, Int. Math. Res. Not. 2021, No. 17, 12993--13010 (2021; Zbl 1497.37067) Full Text: DOI arXiv
Evangelista-Alvarado, Miguel Ángel; Ruíz-Pantaleón, José Crispín; Suárez-Serrato, Pablo On computational Poisson geometry. I: Symbolic foundations. (English) Zbl 1512.53002 J. Geom. Mech. 13, No. 4, 607-628 (2021). MSC: 53-04 53D17 68W30 37J06 PDFBibTeX XMLCite \textit{M. Á. Evangelista-Alvarado} et al., J. Geom. Mech. 13, No. 4, 607--628 (2021; Zbl 1512.53002) Full Text: DOI arXiv
Kolesnikov, Pavel S.; Kozlov, Roman A.; Panasenko, Aleksander S. Quadratic Lie conformal superalgebras related to Novikov superalgebras. (English) Zbl 1487.17046 J. Noncommut. Geom. 15, No. 4, 1485-1500 (2021). Reviewer: Angela Gammella-Mathieu (Metz) MSC: 17B63 17B69 37K30 PDFBibTeX XMLCite \textit{P. S. Kolesnikov} et al., J. Noncommut. Geom. 15, No. 4, 1485--1500 (2021; Zbl 1487.17046) Full Text: DOI arXiv
Bruce, Andrew James; Grabowski, Janusz Symplectic \(\mathbb{Z}_2^n\)-manifolds. (English) Zbl 1492.53092 J. Geom. Mech. 13, No. 3, 285-311 (2021). Reviewer: G. Pacelli Bessa (Fortaleza) MSC: 53D05 53D15 58A50 14A22 17B63 17B75 PDFBibTeX XMLCite \textit{A. J. Bruce} and \textit{J. Grabowski}, J. Geom. Mech. 13, No. 3, 285--311 (2021; Zbl 1492.53092) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{V. Jurdjevic}, Anal. Math. Phys. 11, No. 4, Paper No. 173, 38 p. (2021; Zbl 1483.70037) Full Text: DOI
Dinar, Yassir Ibrahim Algebraic classical \(W\)-algebras and Frobenius manifolds. (English) Zbl 1489.37084 Lett. Math. Phys. 111, No. 5, Paper No. 115, 42 p. (2021). MSC: 37K30 37K10 37K06 53D45 17B80 53D17 17B68 17B08 PDFBibTeX XMLCite \textit{Y. I. Dinar}, Lett. Math. Phys. 111, No. 5, Paper No. 115, 42 p. (2021; Zbl 1489.37084) Full Text: DOI arXiv
Esen, Oǧul; Sütlü, Serkan Matched pair analysis of the Vlasov plasma. (English) Zbl 1489.37085 J. Geom. Mech. 13, No. 2, 209-246 (2021). Reviewer: Maxime Fairon (Glasgow) MSC: 37K30 35Q83 37K06 PDFBibTeX XMLCite \textit{O. Esen} and \textit{S. Sütlü}, J. Geom. Mech. 13, No. 2, 209--246 (2021; Zbl 1489.37085) Full Text: DOI arXiv
Luo, Juan; Wang, Xingting; Wu, Quanshui Poisson Dixmier-Moeglin equivalence from a topological point of view. (English) Zbl 1508.16032 Isr. J. Math. 243, No. 1, 103-139 (2021). Reviewer: Maxime Fairon (Glasgow) MSC: 16S38 16D25 16W10 17B63 17B35 17B37 PDFBibTeX XMLCite \textit{J. Luo} et al., Isr. J. Math. 243, No. 1, 103--139 (2021; Zbl 1508.16032) Full Text: DOI arXiv
Colarusso, Mark; Evens, Sam The complex orthogonal Gelfand-Zeitlin system. (English) Zbl 1490.37082 Int. Math. Res. Not. 2021, No. 4, 2682-2722 (2021). Reviewer: Ivailo M. Mladenov (Sofia) MSC: 37J37 37J39 37J35 22E45 53D05 53D20 53D50 81S10 PDFBibTeX XMLCite \textit{M. Colarusso} and \textit{S. Evens}, Int. Math. Res. Not. 2021, No. 4, 2682--2722 (2021; Zbl 1490.37082) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Petrogradsky, Victor; Shestakov, Ivan Fractal nil graded Lie, associative, Poisson, and Jordan superalgebras. (English) Zbl 1470.16041 J. Algebra 574, 453-513 (2021). Reviewer: Pasha Zusmanovich (Ostrava) MSC: 16N40 16P90 16S32 16W50 17B50 17B63 17B65 17B70 17C50 17C70 PDFBibTeX XMLCite \textit{V. Petrogradsky} and \textit{I. Shestakov}, J. Algebra 574, 453--513 (2021; Zbl 1470.16041) 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 PDFBibTeX XMLCite \textit{M. Fairon} et al., Ann. Henri Poincaré 22, No. 2, 615--675 (2021; Zbl 1468.37047) Full Text: DOI arXiv
Bakalov, Bojko; De Sole, Alberto; Heluani, Reimundo; Kac, Victor G. Chiral versus classical operad. (English) Zbl 1483.17019 Int. Math. Res. Not. 2020, No. 19, 6463-6488 (2020). MSC: 17B69 05E10 17B63 18M70 18M80 PDFBibTeX XMLCite \textit{B. Bakalov} et al., Int. Math. Res. Not. 2020, No. 19, 6463--6488 (2020; Zbl 1483.17019) Full Text: DOI arXiv
Abramov, Viktor; Lätt, Priit Ternary Lie superalgebras and Nambu-Hamilton equation in superspace. (English) Zbl 1511.17052 Silvestrov, Sergei (ed.) et al., Algebraic structures and applications. Selected papers based on the presentations at the international conference on stochastic processes and algebraic structures – from theory towards applications, SPAS 2017, Västerås and Stockholm, Sweden, October 4–6, 2017. Cham: Springer. Springer Proc. Math. Stat. 317, 47-80 (2020). MSC: 17B60 17A40 37K25 37K30 PDFBibTeX XMLCite \textit{V. Abramov} and \textit{P. Lätt}, Springer Proc. Math. Stat. 317, 47--80 (2020; Zbl 1511.17052) Full Text: DOI
Van der Schaft, Arjan; Maschke, Bernhard Dirac and Lagrange algebraic constraints in nonlinear port-Hamiltonian systems. (English) Zbl 1470.37083 Vietnam J. Math. 48, No. 4, 929-939 (2020). Reviewer: Martha Alvarez-Ramírez (Ciudad de México) MSC: 37J39 70H45 37N35 34A09 53D12 93C10 93D30 PDFBibTeX XMLCite \textit{A. Van der Schaft} and \textit{B. Maschke}, Vietnam J. Math. 48, No. 4, 929--939 (2020; Zbl 1470.37083) Full Text: DOI arXiv
Iyer, Srikanth K.; Yogeshwaran, D. Thresholds for vanishing of ‘isolated’ faces in random Čech and Vietoris-Rips complexes. (English. French summary) Zbl 1469.60057 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 3, 1869-1897 (2020). MSC: 60D05 05C80 05E45 60B99 PDFBibTeX XMLCite \textit{S. K. Iyer} and \textit{D. Yogeshwaran}, Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 3, 1869--1897 (2020; Zbl 1469.60057) Full Text: DOI arXiv Euclid
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{T. Skrypnyk}, J. Math. Phys. 61, No. 8, 083504, 37 p. (2020; Zbl 1475.70014) 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 PDFBibTeX XMLCite \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
Carpentier, Sylvain; De Sole, Alberto; Kac, Victor G.; Valeri, Daniele; van de Leur, Johan \( \underline{p} \)-reduced multicomponent KP hierarchy and classical \(\mathcal{W} \)-algebras \(\mathcal{W}(\mathfrak{gl}_N,\underline{p})\). (English) Zbl 1458.37068 Commun. Math. Phys. 380, No. 2, 655-722 (2020). MSC: 37K10 37K30 17B63 17B69 17B80 PDFBibTeX XMLCite \textit{S. Carpentier} et al., Commun. Math. Phys. 380, No. 2, 655--722 (2020; Zbl 1458.37068) Full Text: DOI arXiv
Bremner, Murray; Dotsenko, Vladimir Distributive laws between the operads Lie and Com. (English) Zbl 1458.18010 Int. J. Algebra Comput. 30, No. 8, 1565-1576 (2020). Reviewer: Udhayakumar Ramalingam (Vellore) MSC: 18M60 13C10 13N15 13P10 15A54 15A69 16S37 17A30 17A50 17B60 17B63 68W30 PDFBibTeX XMLCite \textit{M. Bremner} and \textit{V. Dotsenko}, Int. J. Algebra Comput. 30, No. 8, 1565--1576 (2020; Zbl 1458.18010) Full Text: DOI arXiv
Kalnitsky, V. S.; Petrov, A. N. Local smooth conjugations of Frobenius endomorphisms. (English. Russian original) Zbl 1456.39004 J. Math. Sci., New York 251, No. 4, 503-511 (2020); translation from Zap. Nauchn. Semin. POMI 476, 111-124 (2018). MSC: 39B22 17B63 08A35 PDFBibTeX XMLCite \textit{V. S. Kalnitsky} and \textit{A. N. Petrov}, J. Math. Sci., New York 251, No. 4, 503--511 (2020; Zbl 1456.39004); translation from Zap. Nauchn. Semin. POMI 476, 111--124 (2018) Full Text: DOI
Casati, Matteo; Lorenzoni, Paolo; Vitolo, Raffaele Three computational approaches to weakly nonlocal Poisson brackets. (English) Zbl 1478.37066 Stud. Appl. Math. 144, No. 4, 412-448 (2020). MSC: 37K06 37K10 37K40 37K30 17B63 17B69 PDFBibTeX XMLCite \textit{M. Casati} et al., Stud. Appl. Math. 144, No. 4, 412--448 (2020; Zbl 1478.37066) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{E. Chuño}, Colloq. Math. 161, No. 1, 67--88 (2020; Zbl 1452.37062) Full Text: DOI arXiv
Hentosh, O. Ye.; Balinsky, A. A.; Prykarpatski, A. K. The generalized centrally extended Lie algebraic structures and related integrable heavenly type equations. (English) Zbl 1451.37088 Carpathian Math. Publ. 12, No. 1, 242-264 (2020). Reviewer: Di Yang (Hefei) MSC: 37K30 37K25 37K10 17B80 35Q53 58J70 PDFBibTeX XMLCite \textit{O. Ye. Hentosh} et al., Carpathian Math. Publ. 12, No. 1, 242--264 (2020; Zbl 1451.37088) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. De Sole} et al., Int. Math. Res. Not. 2020, No. 13, 4144--4190 (2020; Zbl 1473.37079) Full Text: DOI arXiv
Batakidis, Panagiotis; Vera, Ramón Poisson cohomology of broken Lefschetz fibrations. (English) Zbl 1447.53070 Differ. Geom. Appl. 72, Article ID 101661, 27 p. (2020). Reviewer: Anatoliy K. Prykarpatsky (Kraków) MSC: 53D17 17B63 16E45 17B56 57M50 PDFBibTeX XMLCite \textit{P. Batakidis} and \textit{R. Vera}, Differ. Geom. Appl. 72, Article ID 101661, 27 p. (2020; Zbl 1447.53070) Full Text: DOI arXiv
Naef, Florian Poisson brackets in Kontsevich’s “Lie World”. (English) Zbl 1495.17033 J. Geom. Phys. 155, Article ID 103741, 12 p. (2020). MSC: 17B63 14A22 53D17 PDFBibTeX XMLCite \textit{F. Naef}, J. Geom. Phys. 155, Article ID 103741, 12 p. (2020; Zbl 1495.17033) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{Y. Dinar}, J. Geom. Phys. 155, Article ID 103690, 12 p. (2020; Zbl 1473.37071) Full Text: DOI arXiv
Kim, Chunghoon Deformations of nonsingular Poisson varieties and Poisson invertible sheaves. (English) Zbl 1454.14009 Kyoto J. Math. 60, No. 2, 511-541 (2020). MSC: 14B10 14B12 17B63 32G07 53D17 PDFBibTeX XMLCite \textit{C. Kim}, Kyoto J. Math. 60, No. 2, 511--541 (2020; Zbl 1454.14009) Full Text: DOI arXiv Euclid
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{J. M. Mourão} et al., Adv. Math. 368, Article ID 107139, 36 p. (2020; Zbl 1440.53102) 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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{L. Fehér}, Lett. Math. Phys. 110, No. 5, 1057--1079 (2020; Zbl 1445.37042) Full Text: DOI arXiv
Casati, Matteo; Wang, Jing Ping A Darboux-Getzler theorem for scalar difference Hamiltonian operators. (English) Zbl 1436.58016 Commun. Math. Phys. 374, No. 3, 1497-1529 (2020). MSC: 58H15 35Q53 37K20 PDFBibTeX XMLCite \textit{M. Casati} and \textit{J. P. Wang}, Commun. Math. Phys. 374, No. 3, 1497--1529 (2020; Zbl 1436.58016) Full Text: DOI arXiv
Tumpach, A. B. Banach Poisson-Lie groups and Bruhat-Poisson structure of the restricted Grassmannian. (English) Zbl 1437.37087 Commun. Math. Phys. 373, No. 3, 795-858 (2020). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K25 37K30 37K10 14M15 53D17 16T10 PDFBibTeX XMLCite \textit{A. B. Tumpach}, Commun. Math. Phys. 373, No. 3, 795--858 (2020; Zbl 1437.37087) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Shinjo} et al., J. Math. Anal. Appl. 483, No. 2, Article ID 123627, 15 p. (2020; Zbl 1432.37085) Full Text: DOI
Grygierek, Jens; Juhnke-Kubitzke, Martina; Reitzner, Matthias; Römer, Tim; Röndigs, Oliver Gigantic random simplicial complexes. (English) Zbl 1508.05181 Homology Homotopy Appl. 22, No. 1, 297-318 (2020). MSC: 05E45 55U10 60B99 60D05 PDFBibTeX XMLCite \textit{J. Grygierek} et al., Homology Homotopy Appl. 22, No. 1, 297--318 (2020; Zbl 1508.05181) Full Text: DOI arXiv
Götze, Friedrich; Koleda, Denis; Zaporozhets, Dmitry Joint distribution of conjugate algebraic numbers: a random polynomial approach. (English) Zbl 1443.11199 Adv. Math. 359, Article ID 106849, 33 p. (2020). Reviewer: Artūras Dubickas (Vilnius) MSC: 11N45 11R04 60G55 30C15 26C10 PDFBibTeX XMLCite \textit{F. Götze} et al., Adv. Math. 359, Article ID 106849, 33 p. (2020; Zbl 1443.11199) Full Text: DOI arXiv
Diatta, Andre; Manga, Bakary; Mbaye, Ameth On systems of commuting matrices, Frobenius Lie algebras and Gerstenhaber’s Theorem. arXiv:2002.08737 Preprint, arXiv:2002.08737 [math.RA] (2020). MSC: 15A27 15B48 47B47 17B05 17B08 22E60 15A30 15A03 17B30 15A27 17B60 22E60 15A30 15A03 70G45 16W25 13B25 53A15 BibTeX Cite \textit{A. Diatta} et al., ``On systems of commuting matrices, Frobenius Lie algebras and Gerstenhaber's Theorem'', Preprint, arXiv:2002.08737 [math.RA] (2020) Full Text: arXiv OA License
Bertrand, S.; Šnobl, L. On rotationally invariant integrable and superintegrable classical systems in magnetic fields with non-subgroup type integrals. (English) Zbl 1509.37069 J. Phys. A, Math. Theor. 52, No. 19, Article ID 195201, 25 p. (2019). MSC: 37J35 37J39 37J37 70H06 17B80 PDFBibTeX XMLCite \textit{S. Bertrand} and \textit{L. Šnobl}, J. Phys. A, Math. Theor. 52, No. 19, Article ID 195201, 25 p. (2019; Zbl 1509.37069) 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 PDFBibTeX XMLCite \textit{O. D. Artemovych} et al., Proc. Int. Geom. Cent. 12, No. 4, 1--49 (2019; Zbl 1472.37061) Full Text: DOI
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{A. Bolsinov} and \textit{J. Bao}, Regul. Chaotic Dyn. 24, No. 3, 266--280 (2019; Zbl 1435.37082) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. P. Fordy}, J. Geom. Phys. 145, Article ID 103475, 13 p. (2019; Zbl 1430.37063) Full Text: DOI arXiv Link
Hentosh, Oksana Ye.; Prykarpatsky, Yarema A.; Blackmore, Denis; Prykarpatski, Anatolij K. Dispersionless multi-dimensional integrable systems and related conformal structure generating equations of mathematical physics. (English) Zbl 1460.17040 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 079, 20 p. (2019). MSC: 17B68 17B80 35Q53 35A30 35N10 37K35 58J70 37K10 PDFBibTeX XMLCite \textit{O. Ye. Hentosh} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 079, 20 p. (2019; Zbl 1460.17040) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Kolesnikov, P. S.; Sartayev, B.; Orazgaliev, A. Gelfand-Dorfman algebras, derived identities, and the Manin product of operads. (English) Zbl 1448.17023 J. Algebra 539, 260-284 (2019). Reviewer: Ivan Kaygorodov (Novosibirsk) MSC: 17B63 37K30 08B20 PDFBibTeX XMLCite \textit{P. S. Kolesnikov} et al., J. Algebra 539, 260--284 (2019; Zbl 1448.17023) Full Text: DOI arXiv
Casati, M.; Ferapontov, E. V.; Pavlov, M. V.; Vitolo, R. F. On a class of third-order nonlocal Hamiltonian operators. (English) Zbl 1420.37049 J. Geom. Phys. 138, 285-296 (2019). MSC: 37K05 37K10 37K20 37K25 PDFBibTeX XMLCite \textit{M. Casati} et al., J. Geom. Phys. 138, 285--296 (2019; Zbl 1420.37049) Full Text: DOI arXiv