Extending structures for noncommutative Poisson bialgebras
Rings and Algebras
2023-05-17 v2
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.
Cite
@article{arxiv.2301.00760,
title = {Extending structures for noncommutative Poisson bialgebras},
author = {Tao Zhang and Fang Yang},
journal= {arXiv preprint arXiv:2301.00760},
year = {2023}
}
Comments
44 pages, a noncommutative version is given. Continues arXiv:2112.11977, arXiv:2208.02221, arXiv:2208.08281, and arXiv:2203.15692. arXiv admin note: substantial text overlap with arXiv:2211.05202