On stable equivalences of Morita type with twisted diagonal vertices
Representation Theory
2026-04-21 v2 Group Theory
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.
Keywords
Cite
@article{arxiv.2512.06856,
title = {On stable equivalences of Morita type with twisted diagonal vertices},
author = {Xin Huang},
journal= {arXiv preprint arXiv:2512.06856},
year = {2026}
}