Two sided tilting complexes for Green orders and Brauer tree algebras

DOI10.1006/jabr.1996.6799zbMath0871.20003OpenAlexW2058426608MaRDI QIDQ1355630

Alexander Zimmermann

Publication date: 13 August 1997

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.6799

zbMATH Keywords

derived equivalencestilting complexesBrauer tree algebrasblocks of group algebrasderived tensor functorsblocks of cyclic defectGreen orders

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Group rings (16S34) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Resolutions; derived functors (category-theoretic aspects) (18G10)

Related Items

Pointed Brauer trees, Two-sided tilting complexes for Gorenstein orders, Folded tilting complexes for Brauer tree algebras.

Cites Work

• Group representations without groups
• Fixed rings of finite automorphism groups of associative rings
• Morita Theory for Derived Categories
• Blocks of cyclic defect and green-orders
• Walking around the Brauer tree
• Derived Equivalences As Derived Functors
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