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2002 Crossed extensions of algebras and Hochschild cohomology
Hans-Joachim Baues, Elias Gabriel Minian
Homology Homotopy Appl. 4(2): 63-82 (2002).

Abstract

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.

Citation

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Hans-Joachim Baues. Elias Gabriel Minian. "Crossed extensions of algebras and Hochschild cohomology." Homology Homotopy Appl. 4 (2) 63 - 82, 2002.

Information

Published: 2002
First available in Project Euclid: 13 February 2006

zbMATH: 1004.18012
MathSciNet: MR1918184

Subjects:
Primary: 16E40
Secondary: 16E45

Rights: Copyright © 2002 International Press of Boston

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