Structure of BiHom-pre-Poisson algebras.

Authors: ALOULOU, WALID¹ Walid.Aloulou@ipeim.rnu.tn, JEBLI, MANSOUR² mansourjebli96@gmail.com

Source: Acta et Commentationes Universitatis Tartuensis de Mathematica. Dec2024, Vol. 28 Issue 2, p149-173. 25p.

Subject Terms: *POISSON algebras, *OPERATOR algebras, *LINEAR operators, *ALGEBRA

Constructing and Analyzing BiHom-(Pre-)Poisson Conformal Algebras.

Authors: Asif, Sania^1,2,3 (AUTHOR) 11835037@zju.edu.cn, Wang, Yao^1,3 (AUTHOR) 11835037@zju.edu.cn

Source: Symmetry (20738994). Nov2024, Vol. 16 Issue 11, p1533. 23p.

Subject Terms: *REPRESENTATION theory, *POISSON algebras, *REPRESENTATIONS of algebras, *ALGEBRA

A Class of Multi-Component Non-Isospectral TD Hierarchies and Their Bi-Hamiltonian Structures.

Authors: Yu, Jianduo^1,2 (AUTHOR) yujd0203@163.com, Wang, Haifeng¹ (AUTHOR) tb19080005b4@cumt.edu.cn

Source: Axioms (2075-1680). May2024, Vol. 13 Issue 5, p282. 19p.

Subject Terms: *LIE algebras, *POISSON algebras, *CURVATURE, *EQUATIONS

On Generalizations of Jacobi–Jordan Algebras.

Authors: Abdelwahab, Hani¹, haniamar1985@gmail.com, Abdo, Naglaa Fathi¹, naglaa_abdo@std.mans.edu.eg, Barreiro, Elisabete², mefb@mat.uc.pt, Sánchez, José María³, txema.sanchez@uca.es

Source: Axioms (2075-1680); Nov2024, Vol. 13 Issue 11, p787, 26p

The symplectic form associated to a singular Poisson algebra.

Authors: Esquivel, William Osnayder Clavijo¹ (AUTHOR) woclavijo@im.ufrj.br, Herbig, Hans-Christian¹ (AUTHOR) herbighc@gmail.com, Seaton, Christopher² (AUTHOR) cseaton@skidmore.edu

Source: Reviews in Mathematical Physics. Mar2025, p1. 20p.

Subject Terms: *DIFFERENTIAL forms, *POISSON algebras, *GROBNER bases, *FINITE groups, *ALGEBRA

Double extension of flat pseudo-Riemannian F-Lie algebras.

Authors: Torres-Gomez, Alexander¹ (AUTHOR) galexander.torres@udea.edu.co, Valencia, Fabricio^1,2 (AUTHOR) fabricio.valencia@ime.usp.br

Source: Journal of Algebra. Mar2025, Vol. 666, p1-27. 27p.

Subject Terms: *LIE groups, *POISSON algebras, *FROBENIUS groups, *VECTOR fields, *ALGEBRA

Automorphisms of Veronese subalgebras of polynomial algebras and free Poisson algebras.

Authors: Aitzhanova, Bakhyt¹ (AUTHOR) aitzhanova.bakhyt01@gmail.com, Makar-Limanov, Leonid^1,2 (AUTHOR) lml@wayne.edu, Umirbaev, Ualbai^1,3 (AUTHOR) umirbaev@wayne.edu

Source: Journal of Algebra & Its Applications. Mar2025, Vol. 24 Issue 3, p1-15. 15p.

Subject Terms: *POISSON algebras, *ALGEBRA, *POLYNOMIALS, *AUTOMORPHISMS

Degenerations of Poisson algebras.

Authors: Abdelwahab, Hani¹ (AUTHOR) haniamar1985@gmail.com, Ouaridi, Amir Fernández^2,3 (AUTHOR) amir.fernandez.ouaridi@gmail.com, González, Cándido Martín⁴ (AUTHOR) candido_m@uma.es

Source: Journal of Algebra & Its Applications. Mar2025, Vol. 24 Issue 3, p1-25. 25p.

Subject Terms: *POISSON algebras, *COMMUTATIVE algebra, *ASSOCIATIVE algebras, *ORBITS (Astronomy), *ALGEBRA

Poisson Structures on the Trivial Extensions of Hereditary Algebras of Dynkin Type An.

Authors: Pogorzały, Zygmunt¹ (AUTHOR) zypo@mat.umk.pl

Source: Algebra Colloquium. Mar2025, Vol. 32 Issue 1, p169-180. 12p.

Subject Terms: *POISSON algebras, *ALGEBRA

Classification of transposed Poisson 3-Lie algebras of dimension 3.

Authors: Yaxi, Jiang¹ (AUTHOR), Chuangchuang, Kang¹ (AUTHOR) kangcc@zjnu.edu.cn, Lü, Jiafeng¹ (AUTHOR)

Source: Communications in Algebra. Feb2025, p1-32. 32p.

Subject Terms: *POISSON algebras, *ISOMORPHISM (Mathematics), *AUTOMORPHISMS, *ALGEBRA, *CLASSIFICATION

Multi-derivations of Poisson algebras.

Authors: Jiang, Jun¹ (AUTHOR) junjiang@jlu.edu.cn

Source: Journal of Algebra & Its Applications. Feb2025, Vol. 24 Issue 2, p1-17. 17p.

Subject Terms: *POISSON algebras, *SYMPLECTIC manifolds, *LIE algebras, *REAL numbers

N=2 Supersymmetric Structures on Classical W-algebras.

Authors: Ragoucy, Eric¹ (AUTHOR), Song, Arim² (AUTHOR), Suh, Uhi Rinn³ (AUTHOR) uhrisu1@snu.ac.kr

Source: Communications in Mathematical Physics. Dec2023, Vol. 404 Issue 3, p1607-1640. 34p.

Subject Terms: *LIE superalgebras, *POISSON algebras

Logarithmic Vertex Algebras and Non-local Poisson Vertex Algebras.

Authors: Bakalov, Bojko¹ (AUTHOR) bojko_bakalov@ncsu.edu, Villarreal, Juan J.² (AUTHOR)

Source: Communications in Mathematical Physics. Nov2023, Vol. 404 Issue 1, p185-226. 42p.

Subject Terms: *POISSON algebras, *VERTEX operator algebras, *CONFORMAL field theory, *VECTOR spaces, *SYSTEMS theory, *ALGEBRAIC field theory, *ALGEBRA

Integrable systems on multiplicative quiver varieties from cyclic quivers.

Authors: Fairon, Maxime¹ (AUTHOR) maxime.fairon@u-bourgogne.fr

Source: Journal of Physics A: Mathematical & Theoretical. 1/27/2025, Vol. 58 Issue 4, p1-77. 77p.

Subject Terms: *INTEGRABLE systems, *POISSON algebras, *COMPLEX manifolds, *GENERALIZATION

Deformation Quantization of Nonassociative Algebras.

Authors: Remm, Elisabeth¹ (AUTHOR) elisabeth.remm@uha.fr

Source: Mathematics (2227-7390). Jan2025, Vol. 13 Issue 1, p58. 35p.

Subject Terms: *POISSON algebras, *ALGEBRA, *NONASSOCIATIVE algebras

Splittings of operations for Lie–Poisson triple systems and related algebraic structures.

Authors: Ben Hassine, A.¹ (AUTHOR) benhassine.abdelkader@yahoo.fr, Chtioui, T.² (AUTHOR) chtioui.taoufik@yahoo.fr, Mabrouk, S.³ (AUTHOR) sami.mabrouk@fsgf.u-gafsa.tn, Zouidi, F.⁴ (AUTHOR) zouaidifatmazouaidi@gmail.com

Source: Journal of Algebra & Its Applications. Dec2024, p1. 27p.

Subject Terms: *POISSON algebras, *REPRESENTATIONS of algebras, *COMMUTATIVE algebra, *ALGEBRA

Abelian subalgebras and ideals of maximal dimension in Poisson algebras.

Authors: Fernández Ouaridi, A.¹ (AUTHOR) amir.fernandez.ouaridi@gmail.com, Navarro, R.M.² (AUTHOR) rnavarro@unex.es, Towers, D.A.³ (AUTHOR) d.towers@lancaster.ac.uk

Source: Journal of Algebra. Dec2024, Vol. 660, p680-704. 25p.

Subject Terms: *POISSON algebras, *LIE algebras

Quantizations of transposed Poisson algebras by Novikov deformations.

Authors: Chen, Siyuan¹ (AUTHOR) 1120210010@mail.nankai.edu.cn, Bai, Chengming¹ (AUTHOR) baicm@nankai.edu.cn

Source: Journal of Physics A: Mathematical & Theoretical. 12/6/2024, Vol. 57 Issue 49, p1-17. 17p.

Subject Terms: *POISSON algebras, *COMMUTATIVE algebra, *ASSOCIATIVE algebras, *ALGEBRA

Free special Gelfand–Dorfman algebra.

Authors: Gubarev, V.^1,2 (AUTHOR) wsewolod89@gmail.com, Sartayev, B. K.^1,3 (AUTHOR) baurjai@gmail.com

Source: Journal of Algebra & Its Applications. Dec2024, Vol. 23 Issue 14, p1-11. 11p.

Subject Terms: *DIFFERENTIAL algebra, *POISSON algebras, *ALGEBRA

Differential graded vertex Lie algebras.

Authors: Caradot, Antoine¹ (AUTHOR) caradot@henu.edu.cn, Jiang, Cuipo² (AUTHOR), Lin, Zongzhu³ (AUTHOR)

Source: Journal of Mathematical Physics. Dec2024, Vol. 65 Issue 12, p1-32. 32p.

Subject Terms: *POISSON algebras, *LIE algebras, *HOMOTOPY theory, *ALGEBRAIC topology, *ALGEBRA, *VERTEX operator algebras