Hochschild Homology Invariants of Külshammer Type of Derived Categories

DOI10.1080/00927872.2010.495738zbMath1238.16007arXiv1005.2546OpenAlexW2091375121MaRDI QIDQ3098181

Alexander Zimmermann

Publication date: 17 November 2011

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

Full work available at URL: https://arxiv.org/abs/1005.2546

zbMATH Keywords

derived equivalencesHochschild homologysymmetric algebrastrivial extension algebrasKülshammer ideals

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Derived categories and associative algebras (16E35)

Related Items (2)

Külshammer ideals of algebras of quaternion type ⋮ Külshammer ideals of graded categories and Hochschild cohomology

Cites Work

• Unnamed Item
• Higman ideal, stable Hochschild homology and Auslander-Reiten conjecture.
• Derived equivalence classification of symmetric algebras of domestic type
• Fine Hochschild invariants of derived categories for symmetric algebras
• Generalized Reynolds ideals and derived equivalences for algebras of dihedral and semidihedral type.
• Cyclic homology of algebras with one generator
• Tilted symmetric orders are symmetric orders
• Derived categories and stable equivalence
• The Hochschild homology of fatpoints
• Generalized Reynolds ideals for non-symmetric algebras.
• Central ideals and Cartan invariants of symmetric algebras.
• Deformed preprojective algebras of generalized Dynkin type
• COHOMOLOGY OF SPLIT ALGEBRAS AND OF TRIVIAL EXTENSIONS This work has been supported by the projects SECYT-ECOS A98E05 and SECYT-CAPES BR1299OG. The first author wishes to thank FAPESP (Brazil) for financial support. The second author has a research scholarship from Cnpq (Brazil). The third and fourth authors are research members of CONICET (Argentina).
• Derived Equivalences As Derived Functors
• Invariance of Generalised Reynolds Ideals Under Derived Equivalences
• Bimodule complexes via strong homotopy actions

This page was built for publication: Hochschild Homology Invariants of Külshammer Type of Derived Categories