The Drinfel'd Double versus the Heisenberg Double for Hom-Hopf Algebras

Daowei Lu, Shuanhong Wang

Let $(A,\alpha )$ be a finite-dimensional Hom-Hopf algebra. In this paper we mainly construct the Drinfel'd double $D(A)=(A^{op}\bowtie A^{\ast },\alpha \otimes ({\alpha }^{-1}{)}^{\ast })$ in the setting…