Hopf algebras are determined by their monoidal derived categories
arXiv:2502.16619
Abstract
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.
18 pages. Any comments are welcome!