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arXiv · 2512.06856

On stable equivalences of Morita type with twisted diagonal vertices

Xin Huang
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Abstract

We give a new proof, by using simplified terminology and notation, to a result of Puig stating that if a bimodule of two block algebras of finite groups over an algebraically closed field induces a stable equivalence of Morita type and has a twisted diagonal vertex, then it has an endopermutation module as a source. We also extend this result to arbitrary fields under a mild assumption.

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Xin Huang. 2025-12-07. On stable equivalences of Morita type with twisted diagonal vertices. https://arxiv.org/abs/2512.06856

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