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Main Authors:	Hong, Yangyon, Bai, Chengming, Guo, Li
Format:	Preprint
Published:	2024
Subjects:	Quantum Algebra Mathematical Physics 17A30, 17B62, 17B69, 17B38, 17D25, 81T40
Online Access:	https://arxiv.org/abs/2401.13608
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Infinite-dimensional Lie bialgebras via affinization of perm bialgebras and pre-Lie bialgebras
by: Lin, Yuanchang, et al.
Published: (2024)

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

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)

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

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

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

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

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

On L-dendriform conformal algebras
by: Hajjaji, Atef, et al.
Published: (2025)

Rota-Baxter operators of non-scalar weights, connections with coboundary Lie bialgebra structures
by: Goncharov, Maxim
Published: (2024)

Cohomology theory of Nijenhuis Lie algebras and (generic) Nijenhuis Lie bialgebras
by: Das, Apurba
Published: (2025)

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

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

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

Non-abelian extensions of Lie triple systems and Wells exact sequences
by: Sun, Qinxiu, et al.
Published: (2024)

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

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

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

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

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

Bialgebra theory for nearly associative algebras and $LR$-algebras: equivalence, characterization, and $LR$-Yang-Baxter Equation
by: Barreiro, Elisabete, et al.
Published: (2024)

Singular modules for affine Lie algebras, and applications to irregular WZNW conformal blocks
by: Felder, Giovanni, et al.
Published: (2020)

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

Manin triples associated to $n$-Lie bialgebras
by: Chen, Ying, 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)

On transposed Poisson conformal algebras
by: Yuan, Lamei, et al.
Published: (2026)

Rota-Baxter operators on $ω$-Lie algebras
by: Chen, Yin, et al.
Published: (2026)

Relative Poisson bialgebras and Frobenius Jacobi algebras
by: Liu, Guilai, et al.
Published: (2023)

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

Equivariant Nijenhuis Lie Algebras: Extensions to Classical Lie-Theoretic Structures
by: Hou, Shuai, et al.
Published: (2026)

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

Quasi-lisse vertex (super)algebras
by: Li, Hao
Published: (2023)

On compatible Lie and pre-Lie Yamaguti algebras
by: Sania, Asif, et al.
Published: (2023)

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

Pre-Lie 2-bialgebras and 2-grade classical Yang-Baxter equations
by: Liu, Jiefeng, et al.
Published: (2025)

Bosonization of curved Lie bialgebras
by: Heckenberger, I., et al.
Published: (2022)

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

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

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

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