Multiplication alteration by two-cocycles. The nonassociative version
Rings and Algebras
2018-04-17 v3 Category Theory
Quantum Algebra
Abstract
In this paper we introduce the theory of multiplication alteration by two-cocycles for nonassociative structures like nonassociative bimonoids with left (right) division. Also we explore the connections between Yetter-Drinfeld modules for Hopf quasigroups, projections of Hopf quasigroups, skew pairings, and quasitriangular structures, obtaining the nonassociative version of the main results proved by Doi and Takeuchi for Hopf algebras.
Cite
@article{arxiv.1703.01829,
title = {Multiplication alteration by two-cocycles. The nonassociative version},
author = {J. N. Alonso Álvarez and J. M. Fernández Vilaboa and R. González Rodríguez},
journal= {arXiv preprint arXiv:1703.01829},
year = {2018}
}