Hochschild cohomology algebra of radical square zero algebras

Claude Cibils (1)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

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.

Mots clés: Hocschild; cohomology; multiplicative; cup; product

Domaines: K-théorie et homologie [math.KT]; Anneaux et algèbres [math.RA]

Claude Cibils. Hochschild cohomology algebra of radical square zero algebras. Eighth International Conference on Representations of Algebras, Idun Reiten, Sverre O. Smalo, Oyvind Solberg, Aug 1996, Geirangen, Norway. pp.93-101. ⟨hal-01493750⟩