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Multiplication alteration by two-cocycles. The nonassociative version

Published 6 Mar 2017 in math.RA, math.CT, and math.QA | (1703.01829v3)

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.

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