Extending structures for left-symmetric bialgebras
Tao Zhang, Hui-Jun Yao
TL;DR
This paper introduces braided left-symmetric bialgebras, constructs cocycle bicrossproduct structures, and applies non-abelian cohomology to solve the extending problem for these bialgebras.
Contribution
It presents the concept of braided left-symmetric bialgebras and develops a new approach to the extending problem using non-abelian cohomology.
Findings
Defined braided left-symmetric bialgebras
Constructed cocycle bicrossproduct structures
Solved the extending problem using non-abelian cohomology
Abstract
We introduce the concept of braided left-symmetric bialgebras and construct cocycle bicrossproduct left-symmetric bialgebras. As an application, we solve the extending problem for left-symmetric bialgebras by using some non-abelian cohomology theory.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms