The Generalized Burnside Theorem in noncommutative deformation theory
Eivind Eriksen
TL;DR
This paper explores noncommutative deformation theory, focusing on the algebra of observables and the Generalized Burnside Theorem, providing an overview of recent developments and their mathematical significance.
Contribution
It offers a comprehensive overview of noncommutative deformations related to the Generalized Burnside Theorem, highlighting new insights and connections in the field.
Findings
Construction of the algebra of observables
Insights into the Generalized Burnside Theorem
Connections between deformations and algebraic structures
Abstract
Let A be an associative algebra over a field, and let M be a finite family of right A-modules. Study of the noncommutative deformation functor of the family M leads to the construction of the algebra of observables and the Generalized Burnside Theorem, due to Laudal. In this paper, we give an overview of aspects of noncommutative deformations closely connected to the Generalized Burnside Theorem.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology