Extending structures for left-symmetric bialgebras
Rings and Algebras
2022-11-24 v2
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.
Cite
@article{arxiv.2211.05202,
title = {Extending structures for left-symmetric bialgebras},
author = {Tao Zhang and Hui-Jun Yao},
journal= {arXiv preprint arXiv:2211.05202},
year = {2022}
}
Comments
51 pages, some words and typos are modified. Continues arXiv:2112.11977, arXiv:2208.02221, and arXiv:2208.08281. arXiv admin note: substantial text overlap with arXiv:2203.15692