Noncommutative Deformations of Modules

@inproceedings{Laudal2006NoncommutativeDO,
  title={Noncommutative Deformations of Modules},
  author={O. A. Laudal},
  year={2006}
}
  • 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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