Drinfeld twists for monoidal Hom-bialgebras

Published 20 Oct 2014 in math.RA | (1410.5161v1)

Abstract: The aim of this paper is to define and study Drinfeld twists for monoidal Hom-bialgebras. We show that a new Hom-bialgebra could be constructed by changing the coproduct of a monoidal Hom-bialgebra via a Drinfeld twist, and this construction preserves $R$-matrixes if there exist one. Moreover, their representation categories are monoidal isomorphic.

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