Geodesic
Crossed extensions of algebras and Hochschild cohomology
Homology, homotopy, and applications, Tome 4 (2002) no. 2, pp. 63-82.

Voir la notice de l'article provenant de la source International Press of Boston

We introduce the notion of crossed $n$-fold extensions of an algebra $B$ by a bimodule $M$ and prove that such extensions represent classes in the Hochschild cohomology of $B$ with coefficients in $M$. Moreover we consider this way characteristic classes of chain (resp. cochain) algebras in Hochschild cohomology.
DOI : 10.4310/HHA.2002.v4.n2.a4
Classification : 18Gxx
Keywords: Hochschild cohomology, Massey products, crossed module 
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     title = {Crossed extensions of algebras and {Hochschild} cohomology},
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2002.v4.n2.a4/}
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Hans-Joachim Baues; Elias Gabriel Minian. Crossed extensions of algebras and Hochschild cohomology. Homology, homotopy, and applications, Tome 4 (2002) no. 2, pp. 63-82. doi : 10.4310/HHA.2002.v4.n2.a4. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2002.v4.n2.a4/

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