Generalized Reynolds ideals and derived equivalences for algebras of dihedral and semidihedral type.

DOI10.1016/j.jalgebra.2008.07.026zbMath1160.16009arXiv0807.0688OpenAlexW2963912156MaRDI QIDQ958629

Thorsten Holm, Alexander Zimmermann

Publication date: 5 December 2008

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

Full work available at URL: https://arxiv.org/abs/0807.0688

zbMATH Keywords

derived equivalencestame representation typeblocks of finite groupsalgebras of dihedral typealgebras of semidihedral typegeneralized Reynolds idealstame group algebras

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of quivers and partially ordered sets (16G20) Ideals in associative algebras (16D25)

Related Items

Külshammer ideals of algebras of quaternion type, Classification of Symmetric Special Biserial Algebras With At Most One Non-Uniserial Indecomposable Projective, Higman ideal, stable Hochschild homology and Auslander-Reiten conjecture., Deformed preprojective algebras of type \(L\): Külshammer spaces and derived equivalences., Classifying tame blocks and related algebras up to stable equivalences of Morita type., LOEWY LENGTHS OF CENTERS OF BLOCKS II, DERIVED EQUIVALENCE CLASSIFICATION OF SYMMETRIC ALGEBRAS OF POLYNOMIAL GROWTH, Külshammer ideals of graded categories and Hochschild cohomology, Hochschild Homology Invariants of Külshammer Type of Derived Categories

Cites Work

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• Fine Hochschild invariants of derived categories for symmetric algebras
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• Derived equivalent tame blocks
• Higher-dimensional orders, graph-orders, and derived equivalences
• Cartan invariants and central ideals of group algebras.
• Generalized Reynolds ideals for non-symmetric algebras.
• Central ideals and Cartan invariants of symmetric algebras.
• Invariance of Generalised Reynolds Ideals Under Derived Equivalences
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