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


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.


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

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

Primary: 12H20 , 14A22 , 14D15 , 14H15 , 14R10 , 16D10 , 16D60 , 16G30 , 32G34 , 34A26 , 81-xx , 83-xx

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

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