On stable equivalences of Morita type with twisted diagonal vertices

Fuente: arXiv
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Autor principal: Huang, Xin
Formato: Preprint
Publicado: 2025
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author Huang, Xin
author_facet Huang, Xin
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2512_06856
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On stable equivalences of Morita type with twisted diagonal vertices
Huang, Xin
Representation Theory
Group Theory
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.
title On stable equivalences of Morita type with twisted diagonal vertices
topic Representation Theory
Group Theory
url https://arxiv.org/abs/2512.06856