Brauer graph algebras are closed under derived equivalence-Reference-Cited by-同舟云学术

Brauer graph algebras are closed under derived equivalence

Published:2022-02-09 Issue:2 Volume:301 Page:1963-1981
ISSN:0025-5874
Container-title:Mathematische Zeitschrift
language:en
Short-container-title:Math. Z.

Author:

Antipov Mikhail,Zvonareva Alexandra

Abstract

AbstractIn 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.

Funder

Universität Stuttgart

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.1007/s00209-021-02937-x.pdf

Reference36 articles.

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3. Antipov, M.: On invariants of stable equivalence of symmetric special biserial algebras. Zap. Nauchnykh Semin. POMI 330, 5–28 (2006)

4. Antipov, M.: Derived equivalence of symmetric special biserial algebras. J. Math. Sci. 147(5), 6981–6994 (2007)

5. Antipov, M.: Derived and stable categories of symmetric special biserial algebras. PhD theses (2008)

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