Extending structures for noncommutative Poisson bialgebras

2022/11/27 by Zhang, Tao, Yang, Fang
#16W25 #17B62 #17B63 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2301.00760

Abstract

We introduce the concept of braided noncommutative Poisson bialgebras. The theory of cocycle bicrossproducts for noncommutative Poisson bialgebras is developed. As an application, we solve the extending problem by using some non-abelian cohomology theory.

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