Extending structures for noncommutative Poisson bialgebras
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.
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