A bialgebra theory for transposed Poisson algebras via anti-pre-Lie bialgebras and anti-pre-Lie Poisson bialgebras

DOI10.1142/s0219199723500505MaRDI QIDQ6577577

Cheng-Ming Bai, Guilai Liu

Publication date: 24 July 2024

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

zbMATH Keywords

bialgebracommutative 2-cocycletransposed Poisson algebraanti-pre-Lie algebraanti-pre-Lie Poisson algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Poisson algebras (17B63) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36) Ternary compositions (17A40) Lie-admissible algebras (17D25) Yang-Baxter equations and Rota-Baxter operators (17B38)

This page was built for publication: A bialgebra theory for transposed Poisson algebras via anti-pre-Lie bialgebras and anti-pre-Lie Poisson bialgebras