Noncommutative Poisson bialgebras

DOI10.1016/j.jalgebra.2020.03.009zbMath1475.17038arXiv2004.02560OpenAlexW3014690834MaRDI QIDQ2178496

Jiefeng Liu, Cheng-Ming Bai, Yun He Sheng

Publication date: 11 May 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.02560

zbMATH Keywords

Rota-Baxter operatornoncommutative Poisson algebranoncommutative Poisson bialgebranoncommutative pre-Poisson algebraPoisson Yang-Baxter equation

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lie bialgebras; Lie coalgebras (17B62) Poisson algebras (17B63) Nonassociative algebras satisfying other identities (17A30) Bialgebras (16T10) Yang-Baxter equations and Rota-Baxter operators (17B38)

Related Items (7)

Admissible Poisson bialgebras ⋮ Poisson structures on finitary incidence algebras ⋮ Differential antisymmetric infinitesimal bialgebras, coherent derivations and Poisson bialgebras ⋮ Cohomology and deformation quantization of Poisson conformal algebras ⋮ Transposed Poisson structures ⋮ Cohomologies of \textsf{PoiMod} pairs and compatible structures on Poisson algebras ⋮ On the classification of $3$-dimensional $F$-manifold algebras

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