Valued Deformations of Algebras
Rings and Algebras
2007-05-23 v1
Abstract
We develop the notion of deformations using a valuation ring as ring of coefficients. This permits to consider in particular the classical Gerstenhaber deformations of associative or Lie algebras as infinitesimal deformations and to solve the equation of deformations in a polynomial frame. We consider also the deformations of the enveloping algebra of a rigid Lie algebra and we define valued deformations for some classes of non associative algebras.
Cite
@article{arxiv.math/0210475,
title = {Valued Deformations of Algebras},
author = {Michel Goze and Elisabeth Remm},
journal= {arXiv preprint arXiv:math/0210475},
year = {2007}
}
Comments
18 pages