Drinfel'd double for monoidal Hom-Hopf algebras (1405.4505v2)

Published 18 May 2014 in math.RA

Abstract: In this paper we mainly construct bicrossproduct for finite-dimensional monoidal Hom-Hopf algebra $(H,\alpha)$, generalizing the Majid's bicrossproduct. Naturally the Hom-type bicrossproduct leads to Drinfel'd double $(H^{op}\bowtie H^{\ast}, \alpha \otimes (\alpha^{{-1})^\ast)$} with a quasitriangular structure $R$ satisfying the quantum Hom-Yang-Baxter equations.

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