A new approach to the bialgebra theory for relative Poisson algebras
Fuente:
arXiv
Saved in:
| Main Authors: | Liu, Guilai, Bai, Chengming |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
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)
by: Liu, Guilai, et al.
Published: (2023)
Relative Poisson bialgebras and Frobenius Jacobi algebras
by: Liu, Guilai, et al.
Published: (2023)
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)
by: Liu, Guilai, et al.
Published: (2023)
Anti-dendriform algebras, new splitting of operations and Novikov type algebras
by: Gao, Dongfang, et al.
Published: (2022)
by: Gao, Dongfang, et al.
Published: (2022)
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)
by: Bai, Chengming, et al.
Published: (2025)
Anti-pre-Lie algebras, Novikov algebras and commutative 2-cocycles on Lie algebras
by: Liu, Guilai, et al.
Published: (2022)
by: Liu, Guilai, et al.
Published: (2022)
Manin triples and bialgebras of Left-Alia algebras associated to invariant theory
by: Chuangchuang, Kang, et al.
Published: (2024)
by: Chuangchuang, Kang, et al.
Published: (2024)
Induced structures of averaging commutative and cocommutative infinitesimal bialgebras via a new splitting of perm algebras
by: Bai, Chengming, et al.
Published: (2025)
by: Bai, Chengming, 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)
by: Zhao, Quan, et al.
Published: (2025)
Quasi-triangular, factorizable Leibniz bialgebras and relative Rota-Baxter operators
by: Bai, Chengming, et al.
Published: (2024)
by: Bai, Chengming, 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)
by: Lu, Dilei, 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)
by: Hong, Yangyon, et al.
Published: (2024)
Infinite-dimensional Lie bialgebras via affinization of perm bialgebras and pre-Lie bialgebras
by: Lin, Yuanchang, et al.
Published: (2024)
by: Lin, Yuanchang, et al.
Published: (2024)
Extending structures for pre-Poisson algebras and pre-Poisson bialgebras
by: Zhu, Qianwen, et al.
Published: (2025)
by: Zhu, Qianwen, et al.
Published: (2025)
Bialgebras, Manin triples of Malcev-Poisson algebras and post-Malcev-Poisson algebras
by: Harrathi, Fattoum, et al.
Published: (2025)
by: Harrathi, Fattoum, et al.
Published: (2025)
Nijenhuis operators and twisted $\mathcal{O}$-operators on Nambu-Poisson algebras
by: Das, Apurba, et al.
Published: (2025)
by: Das, Apurba, et al.
Published: (2025)
On the generalized Poisson and transposed Poisson algebras
by: Dzhumadil'daev, Askar, et al.
Published: (2025)
by: Dzhumadil'daev, Askar, et al.
Published: (2025)
Noncommutative Novikov bialgebras and differential antisymmetric infinitesimal bialgebras with weight
by: Zheng, Shanghua, et al.
Published: (2025)
by: Zheng, Shanghua, et al.
Published: (2025)
Quasi-triangular, factorizable anti-dendriform bialgebras and relative Rota-Baxter operators
by: Sun, Qinxiu, et al.
Published: (2025)
by: Sun, Qinxiu, et al.
Published: (2025)
Noncommutative pre-Poisson bialgebras and relative Rota-Baxter operators
by: Li, Hongliang, et al.
Published: (2026)
by: Li, Hongliang, 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)
by: Chuangchuang, Kang, et al.
Published: (2024)
Bialgebra theory for nearly associative algebras and $LR$-algebras: equivalence, characterization, and $LR$-Yang-Baxter Equation
by: Barreiro, Elisabete, et al.
Published: (2024)
by: Barreiro, Elisabete, et al.
Published: (2024)
Properties, deformation quantizations and bialgebras for dual pre-Poisson algebras
by: Lu, Dilei
Published: (2026)
by: Lu, Dilei
Published: (2026)
Kupershmidt operators on $3$-BiHom-Poisson color algebras and $3$-BiHom-pre-Poisson color algebras structures
by: Ncib, Othmen, et al.
Published: (2024)
by: Ncib, Othmen, et al.
Published: (2024)
On transposed Poisson conformal algebras
by: Yuan, Lamei, et al.
Published: (2026)
by: Yuan, Lamei, et al.
Published: (2026)
Rota-Baxter operators of nilpotent evolution algebras with maximal nilindex
by: Qaralleh, Izzat, et al.
Published: (2026)
by: Qaralleh, Izzat, et al.
Published: (2026)
Classification of Transposed Poisson 3-Lie algebras of dimension 3
by: Yaxi, Jiang, et al.
Published: (2024)
by: Yaxi, Jiang, et al.
Published: (2024)
Twisted Poincaré duality for orientable Poisson manifolds
by: Qi, Tiancheng, et al.
Published: (2025)
by: Qi, Tiancheng, et al.
Published: (2025)
Matched pairs and double construction bialgebras of (transposed) Poisson 3-Lie algebras
by: Zhou, Kecheng, et al.
Published: (2025)
by: Zhou, Kecheng, et al.
Published: (2025)
Pre-Lie 2-bialgebras and 2-grade classical Yang-Baxter equations
by: Liu, Jiefeng, et al.
Published: (2025)
by: Liu, Jiefeng, et al.
Published: (2025)
On conservative algebras of 2-dimensional Algebras
by: Oubba, Hassan
Published: (2025)
by: Oubba, Hassan
Published: (2025)
Transposed Poisson structures on the extended Schrödinger-Virasoro and the original deformative Schrödinger-Virasoro algebras
by: Shermatova, Zarina
Published: (2024)
by: Shermatova, Zarina
Published: (2024)
Anti-Rota-Baxter operators on Witt and Virasoro algebras
by: Azizov, Majidkhan
Published: (2024)
by: Azizov, Majidkhan
Published: (2024)
Nijenhuis pre-Lie bialgebras, Nijenhuis Lie bialgebras and \sss-equation
by: Guo, Li, et al.
Published: (2025)
by: Guo, Li, et al.
Published: (2025)
The Levi-Civita products of Leibniz algebras with nondegenerate skew-symmetric 2-cocycles
by: Zhao, Quan, et al.
Published: (2025)
by: Zhao, Quan, et al.
Published: (2025)
Applications of Poisson cohomology to the inducibility problems and study of deformation maps
by: Das, Apurba, et al.
Published: (2025)
by: Das, Apurba, et al.
Published: (2025)
Quantizations of transposed Poisson algebras by Novikov deformations
by: Chen, Siyuan, et al.
Published: (2024)
by: Chen, Siyuan, et al.
Published: (2024)
General multi-Novikov algebras, multi-differential algebras and their free constructions
by: Wang, Xiaoyan, et al.
Published: (2026)
by: Wang, Xiaoyan, et al.
Published: (2026)
Log-ozone groups and centers of polynomial Poisson algebras
by: Chan, Kenneth, et al.
Published: (2025)
by: Chan, Kenneth, et al.
Published: (2025)
Factorizations, classifying complements problem and deformation maps for Lie-Yamaguti algebras
by: Das, Apurba
Published: (2026)
by: Das, Apurba
Published: (2026)
Similar Items
-
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) -
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) -
Anti-dendriform algebras, new splitting of operations and Novikov type algebras
by: Gao, Dongfang, et al.
Published: (2022) -
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)