Noncommutative Deformations of Modules

  title={Noncommutative Deformations of Modules},
  author={O. A. Laudal},
  • O. A. Laudal
  • Published 2006
The classical deformation theory for modules on a k-algebra, where k is a field, is generalized. For any k-algebra, and for any finite family of r modules, we consider a deformation functor defined on the category of Artinian r-pointed (not necessarily commutative) k-algebras, and prove that it has a prorepresenting hull, which can be computed using Massey-type products in the Ext-groups. This is first used to construct k-algebras with a preassigned set of simple modules, and to study the… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 11 references

A generalized Burnside theorem

  • O. A. Laudal
  • 1995

Matric Massey products and formal moduli

  • A. Siq Siqveland
  • Thesis, Institute of Mathematics, University of…
  • 1995

Runar: Noncommutative deformations

  • Ile
  • ab 6= ba. Master Thesis, University of Oslo,
  • 1990
1 Excerpt

Local moduli and singularities

  • O. A. La-Pf Laudal, G. Pfister
  • Lecture Notes in Mathematics, Springer Verlag,
  • 1988

Noncommutative deformations of modules

  • O. A. Laudal
  • Local moduli and singularities . Lecture Notes in…
  • 1988

An introduction to representation theory of Artin algebras

  • I. Reiten
  • Bull.London Math. Soc
  • 1985

Formal moduli of algebraic structures

  • O. A. Laudal
  • Ann . Sci . Ecole Normale Sup . , Paris , t .
  • 1965

Representation Theory of finite Groups and associative Algebras

  • Curtis, C. W. Reiner Curtis, I. Reiner
  • Pure and applied Mathematics, Interscience…
  • 1962

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