Extensions of associative algebras

Abstract

In this paper, we give a purely cohomological interpretation of the extension problem for associative algebras; that is the problem of extending an associative algebra by another associative algebra. We then give a similar interpretation of infinitesimal deformations of extensions. In particular, we consider infinitesimal deformations of representations of an associative algebra.

25 pages

References in corpus (1)

• On Deformations of Associative Algebras

Cited by in corpus (2)

• Extending structures, Galois groups and supersolvable associative algebras
• The moduli space of $2|1$-dimensional complex associative algebras