arXiv subjects

Yuying Xu

Publications and source records attributed to Yuying Xu.

2 recordsLinked to original sources

arXiv2025

Hopf algebras are determined by their monoidal derived categories

We show that two finite-dimensional Hopf algebras are gauge equivalent if and only if their bounded derived categories are monoidal triangulated equivalent. More generally, a monoidal derived equivalence between locally finite tensor Grothendieck categories induces a monoidal abelian equivalence.

math.RT↗

arXiv2022

On the stable equivalences between finite tensor categories

We aim to study Morita theory for tensor triangulated categories. For two finite tensor categories having no projective simple objects, we prove that their stable equivalence induced by an exact $\Bbbk$-linear monoidal functor can be lifted to a tensor equivalence under some certain conditions.

math.QA↗