Derived equivalence classification of Brauer graph algebras

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F22%3A10452305" target="_blank" >RIV/00216208:11320/22:10452305 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=P6FC39_8q5" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=P6FC39_8q5</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.aim.2022.108341" target="_blank" >10.1016/j.aim.2022.108341</a>

Result language

angličtina

Original language name

Derived equivalence classification of Brauer graph algebras

Original language description

We classify Brauer graph algebras up to derived equivalence by showing that the set of derived invariants introduced by Antipov is complete. These algebras first appeared in representation theory of finite groups and can be defined for any suitably decorated graph on an oriented surface. Motivated by the connection between Brauer graph algebras and gentle algebras we consider A &amp; INFIN;-trivial extensions of partially wrapped Fukaya categories associated to surfaces with boundary. This construction naturally enlarges the class of Brauer graph algebras and provides a way to construct derived equivalences between Brauer graph algebras with the same derived invariants. As part of the proof we provide an interpretation of derived invariants of Brauer graph algebras as orbit invariants of line fields under the action of the mapping class group. (C)&amp; nbsp;2022 Elsevier Inc. All rights reserved.

Czech name

—

Czech description

—

Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10101 - Pure mathematics

Project

<a href="/en/project/GA20-13778S" target="_blank" >GA20-13778S: Symmetries, dualities and approximations in derived algebraic geometry and representation theory</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2022

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Advances in Mathematics

ISSN

0001-8708

e-ISSN

1090-2082

Volume of the periodical

402

Issue of the periodical within the volume

402

Country of publishing house

US - UNITED STATES

Number of pages

59

Pages from-to

108341

UT code for WoS article

000793475900001

EID of the result in the Scopus database

2-s2.0-85127200170