Brauer graph algebras are closed under derived equivalence

2019/08/26 by Mikhail Antipov, Antipov, Mikhail, Alexandra Zvonareva +1 · 2 citations
Mathematics · #16G10 #18E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1908.09645

openalex publication_date 2019/08/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper the class of Brauer graph algebras is proved to be closed under derived equivalence. For that we use the rank of the maximal torus of the identity component Out⁰(A) of the group of outer automorphisms of a symmetric stably biserial algebra A.

Cited by

• A construction of simple-minded systems over domestic Brauer graph algebras I: the 2-domestic case
• Detecting derived equivalences with the CHZ criterion

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• Derived equivalences of Brauer graph algebras
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