Cover Image

Matched pairs and double construction bialgebras of (transposed) Poisson 3-Lie algebras

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Zhou, Kecheng, Kang, Chuangchuang, Lü, Jiafeng
Format:	Preprint
Published:	2025
Subjects:	Rings and Algebras 17A40, 16T10, 17A30, 17A42, 17B10, 17B63
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Classification of Transposed Poisson 3-Lie algebras of dimension 3
by: Yaxi, Jiang, et al.
Published: (2024)

On the transposed Poisson n-Lie algebras
by: Mashurov, Farukh
Published: (2025)

A bialgebra theory for transposed Poisson algebras via anti-pre-Lie bialgebras and anti-pre-Lie-Poisson bialgebras
by: Liu, Guilai, et al.
Published: (2023)

Manin triples and bialgebras of Left-Alia algebras associated to invariant theory
by: Chuangchuang, Kang, et al.
Published: (2024)

Poisson $n$-Lie algebras: constructions and the structure of solvable algebras
by: Cao, Xinru, et al.
Published: (2026)

Properties, deformation quantizations and bialgebras for dual pre-Poisson algebras
by: Lu, Dilei
Published: (2026)

Manin triples, bialgebras and Yang-Baxter equation of $A_3$-associative algebras
by: Jiang, Yaxi, et al.
Published: (2025)

Noncommutative pre-Poisson bialgebras and relative Rota-Baxter operators
by: Li, Hongliang, et al.
Published: (2026)

Bialgebras, Manin triples of Malcev-Poisson algebras and post-Malcev-Poisson algebras
by: Harrathi, Fattoum, et al.
Published: (2025)

New splittings of operations of Poisson algebras and transposed Poisson algebras and related algebraic structures
by: Liu, Guilai, et al.
Published: (2023)

Extending structures for pre-Poisson algebras and pre-Poisson bialgebras
by: Zhu, Qianwen, et al.
Published: (2025)

Quasi-triangular, factorizable anti-dendriform bialgebras and relative Rota-Baxter operators
by: Sun, Qinxiu, et al.
Published: (2025)

From pre-Lie bialgebras to phase spaces of Lie algebras: a categorical correspondence
by: Wang, Qi, et al.
Published: (2024)

Universal enveloping algebras of weighted differential Poisson algebras
by: Chen, Ying, et al.
Published: (2024)

On conservative algebras of 2-dimensional Algebras
by: Oubba, Hassan
Published: (2025)

On the generalized Poisson and transposed Poisson algebras
by: Dzhumadil'daev, Askar, et al.
Published: (2025)

Manin triples associated to $n$-Lie bialgebras
by: Chen, Ying, et al.
Published: (2023)

Cohomologies of modified $λ$-differential Lie triple systems and applications
by: Teng, Wen, et al.
Published: (2023)

Transposed Poisson structures on the extended Schrödinger-Virasoro and the original deformative Schrödinger-Virasoro algebras
by: Shermatova, Zarina
Published: (2024)

Transposed Poisson structures on solvable Lie algebras with filiform nilradical
by: Abdurasulov, Kobiljon, et al.
Published: (2024)

Infinite-dimensional Lie bialgebras via affinization of perm bialgebras and pre-Lie bialgebras
by: Lin, Yuanchang, et al.
Published: (2024)

Kupershmidt operators on $3$-BiHom-Poisson color algebras and $3$-BiHom-pre-Poisson color algebras structures
by: Ncib, Othmen, et al.
Published: (2024)

Isoclinism in regular Hom-Lie Yamaguti algebras
by: Asif, Sania, et al.
Published: (2025)

Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras
by: Liu, Guilai, et al.
Published: (2022)

Abelian Subalgebras and Ideals of Maximal Dimension in Poisson algebras
by: Ouaridi, Amir Fernández, et al.
Published: (2024)

Transposed $δ$-Poisson algebra structures on null-filiform associative algebras
by: Daukeyeva, Nigora, et al.
Published: (2025)

Symmetric matrices, orthogonal Lie algebras, and Lie-Yamaguti algebras
by: Benito, Pilar, et al.
Published: (2013)

Irreducible cuspidal modules of simple $n$-Lie algebras
by: Omirov, Bakhrom, et al.
Published: (2026)

Anti-dendriform algebras, new splitting of operations and Novikov type algebras
by: Gao, Dongfang, et al.
Published: (2022)

Deformation Cohomology of Lie-Yamaguti algebras and Free Lie-Yamaguti algebras
by: Goswami, Saikat
Published: (2023)

Yang-Baxter equations and relative Rota-Baxter operators for left-Alia algebras associated to invariant theory
by: Chuangchuang, Kang, et al.
Published: (2024)

Nijenhuis pre-Lie bialgebras, Nijenhuis Lie bialgebras and \sss-equation
by: Guo, Li, et al.
Published: (2025)

Polynomial Identities and Codimensions of Two- and Three-Dimensional Metabelian Non-Lie Leibniz Algebras
by: Fertunani, Luis, et al.
Published: (2025)

Nonabelian embedding tensors on 3-Lie algebras and 3-Leibniz-Lie algebras
by: Teng, Wen, et al.
Published: (2023)

A bialgebra theory of post-Lie algebras via Manin triples and generalized Hessian Lie groups
by: Lu, Dilei, et al.
Published: (2025)

(Transposed) Poisson algebra structures on null-filiform associative algebras
by: Adashev, Jobir, et al.
Published: (2025)

Deformations and extensions of modified $λ$-differential $3$-Lie Algebras
by: Teng, Wen, et al.
Published: (2023)

Generalized splitting of algebras with application to a bialgebra structure of Leibniz algebras induced from averaging Lie bialgebras
by: Bai, Chengming, et al.
Published: (2025)

Solvable compatible Lie algebras with a given nilradical
by: Ouaridi, A. Fernández, et al.
Published: (2026)

A further study on averaging commutative and cocommutative infinitesimal bialgebras and special apre-perm bialgebras
by: Zhao, Quan, et al.
Published: (2025)