Comparing the simplicial and the Hochschild cohomologies of a finite dimensional algebra

DOI10.1016/S0022-4049(97)00205-3zbMath0940.16007MaRDI QIDQ1295758

Maria Izabel R. Martins, José Antonio de la Peña

Publication date: 13 July 2000

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

Hochschild cohomology groupsGalois coveringsmultiplicative basesSchurian algebrasfinite dimensional basic algebrassimplicial cohomology groups

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 associative Artinian rings (16G10)

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Gerstenhaber algebra of ℤ2 × ℤ2-Galois covering of quantum exterior algebra, The classifying space of a bound quiver., ON THE FUNDAMENTAL GROUP OF A SCHURIAN ALGEBRA, Hochschild cohomology of \(\mathbb Z_n\)-Galois coverings of an algebra., HOCHSCHILD (CO)HOMOLOGY OF ℤ₂×ℤ₂-GALOIS COVERINGS OF QUANTUM EXTERIOR ALGEBRAS, Cartan-Leray spectral sequence for Galois coverings of linear categories, Strongly simply connected Schurian algebras and multiplicative bases., The first Hochschild cohomology group of a Schurian cluster-tilted algebra., (Co)Homology Theories for Oriented Algebras, Hochschild (co)homology of Galois coverings of Grassmann algebras.

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