Cover Image

Infinite-dimensional Lie bialgebras via affinization of perm bialgebras and pre-Lie bialgebras

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Lin, Yuanchang, Zhou, Peng, Bai, Chengming
Format:	Preprint
Published:	2024
Subjects:	Quantum Algebra Mathematical Physics Rings and Algebras Representation Theory 16T10, 16T25, 16W99, 17A30, 17A60, 17B38, 17B60, 17B62, 17B65, 17D25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

Deformation families of Novikov bialgebras via differential antisymmetric infinitesimal bialgebras
by: Hong, Yanyong, et al.
Published: (2024)

Quasi-triangular and factorizable perm bialgebras
by: Lin, Yuanchang
Published: (2025)

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

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

Noncommutative Novikov bialgebras and differential antisymmetric infinitesimal bialgebras with weight
by: Zheng, Shanghua, et al.
Published: (2025)

A bialgebra theory of Gel'fand-Dorfman algebras with applications to Lie conformal bialgebras
by: Hong, Yangyon, et al.
Published: (2024)

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

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

Averaging pre-Lie bialgebras
by: Gao, Lin, et al.
Published: (2026)

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)

Quasi-triangular, factorizable Leibniz bialgebras and relative Rota-Baxter operators
by: Bai, Chengming, et al.
Published: (2024)

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

Extended (tri)dendriform algebras, pre-Lie algebras and post-Lie algebras as companion structures of extended Rota-Baxter algebras
by: Zheng, Shanghua, et al.
Published: (2024)

The Superization of Hochschild's Lemma and Restricted Lie-Rinehart Superalgebras
by: Bouarroudj, Sofiane, et al.
Published: (2025)

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

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

Nijenhuis BiHom-Lie bialgebras and differential Lie bialgebras
by: Liu, Jiaqi, et al.
Published: (2026)

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

Monomial bialgebras
by: Berenstein, Arkady, et al.
Published: (2026)

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

Matched pairs and double construction bialgebras of (transposed) Poisson 3-Lie algebras
by: Zhou, Kecheng, et al.
Published: (2025)

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

Post-Lie conformal algebra structures on Lie conformal algebras
by: Yuan, Lamei, et al.
Published: (2026)

An alternative approach to deformations of restricted Lie-Rinehart algebras
by: Ehret, Quentin
Published: (2025)

On Lie-holomorphs of Leibniz algebras
by: La Rosa, Gianmarco, et al.
Published: (2025)

Fibonacci Lie algebra revisited
by: Petrogradsky, Victor
Published: (2024)

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

Derivations of Lie Algebras of Vector Fields in Infinitely Many Variables
by: Bezushchak, Oksana, et al.
Published: (2025)

A new approach to the bialgebra theory for relative Poisson algebras
by: Liu, Guilai, et al.
Published: (2025)

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

Weyl-Type and Witt-Type Algebras with Exponential Generators:Structure, Automorphisms, and Representation Theory
by: Rashid, Mohammad H. M
Published: (2025)

Characters for extended affine Lie algebras; a combinatorial approach
by: Azam, Saeid
Published: (2024)

Associative-Yamaguti algebras
by: Das, Apurba
Published: (2025)

Non-nilpotent Leibniz algebras with one-dimensional derived subalgebra
by: Di Bartolo, Alfonso, et al.
Published: (2023)

Induced structures of averaging commutative and cocommutative infinitesimal bialgebras via a new splitting of perm algebras
by: Bai, Chengming, et al.
Published: (2025)

Higher polynomial identities for mutations of associative algebras
by: Bremner, Murray R., et al.
Published: (2018)

Local superderivation and super-biderivation on generalized quaternion algebra
by: Oubba, Hassan
Published: (2025)

Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation
by: Bai, Chengming, et al.
Published: (2023)