Extending structures for alternative bialgebras
Tao Zhang, Fang Yang
TL;DR
This paper introduces braided alternative bialgebras, develops cocycle bicrossproduct theory, and applies non-abelian cohomology to solve the extending problem for alternative bialgebras.
Contribution
It presents the concept of braided alternative bialgebras and develops cocycle bicrossproduct theory, advancing the understanding of alternative bialgebra extensions.
Findings
Introduction of braided alternative bialgebras
Development of cocycle bicrossproduct theory
Solution to the extending problem using non-abelian cohomology
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.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons