Hochschild cohomology algebra of radical square zero algebras

Claude Cibils

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Hochschild cohomology algebra of radical square zero algebras

Acte de colloque

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Hochschild cohomology algebra of radical square zero algebras

Claude Cibils

CMS conference proceedings, Vol.24, pp.93-101

Algebras and modules, II Eighth International Conference on Representations of Algebras, August 4-10, 1996, Geiranger, Norway

Eighth International Conference on Representations of Algebras (Geirangen, Norway, 04/08/1996–10/08/1996)

1998

Résumé

product

cup

multiplicative

cohomology

Hocschild

We compute the dimension at each degree of the Hochschild cohomology of a radical square zero ﬁnite dimensional algebra, in terms of the combinatorics of its quiver. The multiplicative structure is obtained as well, those algebras are ﬁnitely generated only for quivers without oriented cycles and for crowns.

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Détails

Titre: Hochschild cohomology algebra of radical square zero algebras
Créateurs - sans rôle: Claude Cibils - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Contributeurs - sans rôle: Idun Reiten
Sverre O. Smalo
Oyvind Solberg
Détails de publication: CMS conference proceedings, Vol.24, pp.93-101
Colloque: Eighth International Conference on Representations of Algebras (Geirangen, Norway, 04/08/1996–10/08/1996)
Publications en série: Algebras and modules, II Eighth International Conference on Representations of Algebras, August 4-10, 1996, Geiranger, Norway
Identifiants: 99153346809311
Unité académique: Institut Montpelliérain Alexander Grothendieck - IMAG
Langue: English
Type de ressource: Conference proceeding
Champs locaux: hal-01493750