Pivotal and Ribbon Entwining Datums

Published 3 Oct 2016 in math.RA and math.QA | (1610.00551v1)

Abstract: Let $(C,A,\varphi)$ be an entwining structure over $k$. In this paper, we introduce the notions of the pivotal entwined datums and ribbon entwined datums to generalize (co)pivotal Hopf algebras and (co)ribbon Hopf algebras. These notions give necessary and sufficient conditions for the category of entwined modules to be a pivotal category and ribbon category.

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