Homology, Homotopy and Applications
Volume 4 (2002)
The Roos Festschrift volume
Crossed extensions of algebras and Hochschild cohomology
Pages: 63 – 82
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.
Hochschild cohomology, Massey products, crossed module
2010 Mathematics Subject Classification