Hochschild Cohomology and Representation-finite Algebras

DOI10.1112/S0024611503014394zbMath1061.16016OpenAlexW2153592123MaRDI QIDQ4465100

Shiping Liu, Ragnar-Olaf Buchweitz

Publication date: 27 May 2004

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024611503014394

zbMATH Keywords

simply connected algebrasHochschild cohomology groupsrepresentation-finite algebrasbound quiver algebrasAuslander algebrasstandard algebrasmesh algebras of translation quivers

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of quivers and partially ordered sets (16G20)

Related Items (13)

The Simple Connectedness of a Tame Weakly Shod Algebra ⋮ Localization of quantum biequivariantƊ-modules and q–W algebras ⋮ Dimension of the Mesh Algebra of a Finite Auslander–Reiten Quiver ⋮ On Simple Connectedness of Minimal Representation-Infinite Algebras ⋮ The simple connectedness of tame algebras with separating almost cyclic coherent Auslander-Reiten components ⋮ Hochschild cohomology: some applications in representation theory of algebras ⋮ On solvability of the first Hochschild cohomology of a finite-dimensional algebra ⋮ Topological invariants of piecewise hereditary algebras ⋮ Computing obstructions for existence of connections on modules ⋮ Connections on modules over singularities of finite CM representation type ⋮ Coverings of laura algebras: the standard case. ⋮ The first Hochschild (co)homology when adding arrows to a bound quiver algebra ⋮ Simply connected tame quasi-tilted algebras

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