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Brauer graph algebras are closed under derived equivalence

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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… Click to show full 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 $$Out^0(A)$$ O u t 0 ( A ) of the group of outer automorphisms of a symmetric stably biserial algebra A.

Keywords: derived equivalence; graph algebras; brauer graph; closed derived

Journal Title: Mathematische Zeitschrift
Year Published: 2022

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