Transfer maps in Hochschild (co)homology and applications to stable and derived invariants and to the Auslander–Reiten conjecture

DOI10.1090/S0002-9947-2011-05358-4zbMath1273.16012WikidataQ123005560 ScholiaQ123005560MaRDI QIDQ5388823

Guodong Zhou, Yuming Liu, Steffen Koenig

Publication date: 20 April 2012

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

zbMATH Keywords

finite dimensional algebrasderived equivalencesstable equivalences of Morita typetilting complexesBatalin-Vilkovisky algebrasstable Hochschild cohomologyAuslander-Reiten conjecturetransfer mapsstable Hochschild homologyKülshammer idealsstable cyclic cohomologystable cyclic homology

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Modular representations and characters (20C20) Representations of associative Artinian rings (16G10)

Related Items

Külshammer ideals of algebras of quaternion type, Morita invariance for infinitesimal deformations, Invariance of the restricted \(p\)-power map on integrable derivations under stable equivalences, Classification of Symmetric Special Biserial Algebras With At Most One Non-Uniserial Indecomposable Projective, Higman ideal, stable Hochschild homology and Auslander-Reiten conjecture., Stable invariance of the restricted Lie algebra structure of Hochschild cohomology, Stable equivalences of Morita type do not preserve tensor products and trivial extensions of algebras, On singular equivalences of Morita type, Classifying tame blocks and related algebras up to stable equivalences of Morita type., Külshammer ideals of graded categories and Hochschild cohomology, Finite-dimensional algebras arising as blocks of finite group algebras, INVARIANCE OF THE GERSTENHABER ALGEBRA STRUCTURE ON TATE-HOCHSCHILD COHOMOLOGY, On Stable Equivalence of Tensor Products of Algebras

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