Drinfeld twists for monoidal Hom-bialgebras

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.

19 pages

References in corpus (1)

• Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras