Derived equivalences of Brauer graph algebras
Alexandra Zvonareva
TL;DR
This paper surveys the classification of Brauer graph algebras up to derived equivalence, highlighting the key ingredients and the proof of their closure under derived equivalence.
Contribution
It provides a comprehensive overview of the methods used to classify Brauer graph algebras and proves their invariance under derived equivalence.
Findings
Brauer graph algebras are closed under derived equivalence
Key ingredients for classification are identified
The proof of closure is summarized
Abstract
The aim of this short survey is to trace back the ingredients going into the derived equivalence classification of Brauer graph algebras and into the proof of the fact that these algebras are closed under derived equivalence.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Advanced Operator Algebra Research