Extending structures for noncommutative Poisson bialgebras
Tao Zhang, Fang Yang
TL;DR
This paper introduces braided noncommutative Poisson bialgebras, develops cocycle bicrossproduct theory, and applies non-abelian cohomology to solve the extending problem in this context.
Contribution
It presents the first framework for braided noncommutative Poisson bialgebras and advances the theory of cocycle bicrossproducts for these structures.
Findings
Development of cocycle bicrossproduct theory for noncommutative Poisson bialgebras
Introduction of non-abelian cohomology methods to solve extending problems
Establishment of a new algebraic framework for braided structures
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Algebra and Geometry