Extending structures for alternative bialgebras
arXiv:2208.08281
Abstract
We introduce the concept of braided alternative bialgebra. The theory of cocycle bicrossproducts for alternative bialgebras is developed. As an application, the extending problem for alternative bialgebra is solved by using some non-abelian cohomology theory.
61pages, Continues arXiv:2112.11977, arXiv:2203.15692 and arXiv:2208.02221