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Comptes Rendus Mathématique
Volume 334, n° 7
pages 527-532 (2002)
Doi : S1631-073X(02)02309-9
Received : 17 October 2001 ; 
Sur la cohomologie des algèbres de type An
On the cohomology of type A n algebras
 

Sophie Dourlens
Laboratoire J.-A. Dieudonné, UNSA, Parc Valrose, 06108 Nice cedex 2, France 

Note présentée par Christophe Soulé

Résumé

Nous nous intéressons ici à la cohomologie de Hochschild des algèbres triangulaires tensorielles T. Nous décrivons en particulier une suite spectrale, dont les termes sont paramétrés par les longueurs des trajectoires du carquois associé à T, et qui converge vers HH(T), la cohomologie de Hochschild de T. Les différentielles au premier niveau sont des sommes de produits cup . Pour citer cet article : S. Dourlens, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 527-532.

The full text of this article is available in PDF format.
Abstract

We are interested here in the Hochschild cohomology of tensor triangular algebras T. We describe in particular a spectral sequence, whose terms are parametrized by the lengths of the trajectories of the quiver associated with T, and which converges to HH(T), the Hochschild cohomology of T. Differentials at the first level are sums of cup products. To cite this article: S. Dourlens, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 527-532.

The full text of this article is available in PDF format.


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