The Quantum Double of Hopf Algebras Realized via Partial Dualization and the Tensor Category of Its Representations

In this paper, we aim to study the (generalized) quantum double $K^{\ast\mathrm{cop}}\bowtie_σH$ determined by a (skew) pairing between finite-dimensional Hopf algebras $K^{\ast\mathrm{cop}}$ and $H$, especially the tensor category $\mathsf{Rep}(K^{\ast\mathrm{cop}}\bowtie_σH)$ of its finite-dimensi