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Channel: Journal of Generalized Lie Theory and Applications Articles (Project Euclid)
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Phase Spaces and Deformation Theory

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Olav Arnfinn Laudal

Source: J. Gen. Lie Theory Appl., Volume 5, 18 pages.

Abstract:
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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