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arXiv · 2502.16619

Hopf algebras are determined by their monoidal derived categories

Yuying Xu·Junhua Zheng
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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.

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Yuying Xu, Junhua Zheng. 2025-02-23. Hopf algebras are determined by their monoidal derived categories. https://arxiv.org/abs/2502.16619

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