Hochschild cohomology for self-injective algebras of tree class \(D_n\). II.

DOI10.1007/s10958-009-9579-8zbMath1197.16009OpenAlexW2783236372WikidataQ58174643 ScholiaQ58174643MaRDI QIDQ844486

Yu. V. Volkov

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9579-8

zbMATH Keywords

Hochschild cohomology groupsprojective bimodule resolutionsrepresentation-finite self-injective algebras

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) Syzygies, resolutions, complexes in associative algebras (16E05)

Related Items (8)

Hochschild cohomology for algebras of semidihedral type. VII: Algebras with a small parameter ⋮ Hochschild cohomology ring for self-injective algebras of tree class \(E_8\) ⋮ Batalin-Vilkovisky algebra structures on the Hochschild cohomology of self-injective Nakayama algebras ⋮ Hochschild cohomology of algebras of quaternion type. IV: Cohomology algebra for exceptional local algebras ⋮ Hochschild cohomology ring for self-injective algebras of tree class \(E_6\). II ⋮ Hochschild cohomology ring for self-injective algebras with tree class \(E_7\) ⋮ Hochschild cohomology of algebras of dihedral type. VIII: Hochshild cohomology algebra for the family \(D(2\mathcal{B})(k, s, 0)\) in characteristic 2 ⋮ Hochschild comohology for algebras of dihedral type, VI. The family $D(2\mathcal B)(k,s,1)$

Cites Work

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• Periodic resolutions and self-injective algebras of finite type.
• Algebren, Darstellungsköcher, Überlagerungen und zurück
• The alternating syzygy behavior of monomial algebras
• Twisted bimodules and Hochschild cohomology for self-injective algebras of class \(A_n\). II.
• Bimodule resolutions of Möbius algebras
• Twisted bimodules and Hochschild cohomology for self-injective algebras of class An

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