On the stable module category of a self-injective algebra

DOI10.1090/S0002-9947-00-02232-7zbMath0956.16003WikidataQ114093931 ScholiaQ114093931MaRDI QIDQ4942886

Karin Erdmann, Otto Kerner

Publication date: 15 March 2000

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

stable module categoriesendotrivial modulesself-injective algebrasquasi-simple modulesAuslander Reiten quiversstable homomorphismsauto-equivalenceswild group algebras

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Group rings (16S34) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (5)

Vanishing of self-extensions over symmetric algebras. ⋮ On simple-minded systems and \(\tau \)-periodic modules of self-injective algebras ⋮ The Auslander-Reiten quiver of perfect complexes for a self-injective algebra ⋮ On simple-minded systems over domestic Brauer graph algebras ⋮ Maximal 𝑛-orthogonal modules for selfinjective algebras

Cites Work

• Finite dimensional hereditary algebras of wild representation type
• Tame algebras and integral quadratic forms
• Modules without self-extensions and Nakayama's conjecture
• Modular representation theory: New trends and methods
• Covering spaces in representation-theory
• Stable components of wild tilted algebras
• Blocks of tame representation type and related algebras
• Endo-permutation modules over p-groups. II
• On Auslander-Reiten components for group algebras
• On Artin algebras over artinian commutative local rings
• Self-equivalences of stable module categories
• On Tame Algebras and Bocses
• Tilting Wild Algebras
• On Auslander-Reiten Components of Blocks and Self-Injective Biserial Algebras
• The Auslander-Reiten quiver of a finite group
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