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Journal of Generalized Lie Theory and Applications

ISSN: 1736-4337

Open Access

Phase Spaces and Deformation Theory

Abstract

Olav Arnfinn Laudal

We have previously introduced the notion of non-commutative phase space (algebra) associated to any associative algebra, defined over a field. The purpose of the present paper is to prove that this construction is useful in non-commutative deformation theory for the construction of the versal family of finite families of modules. In particular, we obtain a much better understanding of the obstruction calculus, that is, of the Massey products.

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