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2011 Phase Spaces and Deformation Theory
Olav Arnfinn Laudal
J. Gen. Lie Theory Appl. 5: 1-18 (2011). DOI: 10.4303/jglta/G110104

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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Olav Arnfinn Laudal. "Phase Spaces and Deformation Theory." J. Gen. Lie Theory Appl. 5 1 - 18, 2011. https://doi.org/10.4303/jglta/G110104

Information

Published: 2011
First available in Project Euclid: 29 September 2011

zbMATH: 1273.14009
MathSciNet: MR2846730
Digital Object Identifier: 10.4303/jglta/G110104

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Rights: Copyright © 2011 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

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