English

The Generalized Burnside Theorem in noncommutative deformation theory

Algebraic Geometry 2017-04-19 v1 Rings and Algebras Representation Theory

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.

Keywords

Cite

@article{arxiv.0910.0340,
  title  = {The Generalized Burnside Theorem in noncommutative deformation theory},
  author = {Eivind Eriksen},
  journal= {arXiv preprint arXiv:0910.0340},
  year   = {2017}
}

Comments

AMS-LaTeX, 7 pages

R2 v1 2026-06-21T13:53:19.916Z