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2011 The Generalized Burnside Theorem in Noncommutative Deformation Theory
Eivind Eriksen
J. Gen. Lie Theory Appl. 5: 1-5 (2011). DOI: 10.4303/jglta/G110109

Abstract

Let A be an associative algebra over a field $k$, and let $\mathcal{M}$ be a finite family of right $A$-modules. A study of the noncommutative deformation functor $\mathrm{Def}_{\mathcal{M}}$ of the family $\mathcal{M}$ leads to the construction of the algebra $\mathcal{O}^A(\mathcal{M})$ of observables and the generalized Burnside theorem, due to Laudal (2002). In this paper, we give an overview of aspects of noncommutative deformations closely connected to the generalized Burnside theorem.

Citation

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Eivind Eriksen. "The Generalized Burnside Theorem in Noncommutative Deformation Theory." J. Gen. Lie Theory Appl. 5 1 - 5, 2011. https://doi.org/10.4303/jglta/G110109

Information

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

zbMATH: 1218.16017
MathSciNet: MR2846733
Digital Object Identifier: 10.4303/jglta/G110109

Subjects:
Primary: 13D10, 14D15

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

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