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Revista de teoría y aplicaciones de la mentira generalizada

ISSN: 1736-4337

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The Generalized Burnside Theorem in Noncommutative Deformation Theory

Abstract

Eivind Eriksen

Let A be an associative algebra over a field k, and letMbe a finite family of right A-modules. A study of the noncommutative deformation functor DefM of the familyMleads to the construction of the algebra OA(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.

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