Folded tilting complexes for Brauer tree algebras.

DOI10.1006/aima.2001.2064zbMath1040.20003OpenAlexW1970838262MaRDI QIDQ1865272

Jeremy Rickard, Mary Elizabeth Schaps

Publication date: 26 March 2003

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/aima.2001.2064

zbMATH Keywords

derived categoriesderived equivalencesBrauer tree algebras

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (9)

On tilting complexes over blocks covering cyclic blocks ⋮ Two-sided tilting complexes for Brauer tree algebras ⋮ On stably biserial algebras and the Auslander-Reiten conjecture for special biserial algebras ⋮ Pointed Brauer trees ⋮ Homogeneous Deformations of Brauer Tree Algebras ⋮ Lifting McKay graphs and relations to prime extensions. ⋮ Mutations and pointed Brauer trees ⋮ Mutations and pointing for Brauer tree algebras ⋮ Two-term tilting complexes and simple-minded systems of self-injective Nakayama algebras

Cites Work

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• A modular version of Maschke's theorem for groups with cyclic \(p\)-Sylow subgroups
• Two sided tilting complexes for Green orders and Brauer tree algebras
• Derived categories and stable equivalence
• Walking around the Brauer tree
• Pointed Brauer trees

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