VALUED DEFORMATIONS OF ALGEBRAS

被引：11
|
作者：
Goze, Michel [1 ]
Remm, Elisabeth [1 ]
机构：
[1] Univ Haute Alsace, FST, 4 Rue Freres Lumiere, F-68093 Mulhouse, France
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2004年 / 3卷 / 04期
关键词：
Deformations; perturbations; rigid Lie algebras; valuation ring;
D O I：
10.1142/S0219498804000915
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We develop a notion of deformations using a valuation ring as a ring of coefficients. This allows us in particular to consider the classical Gerstenhaber deformations of associative or Lie algebras as valued deformations and to solve the equation of deformations in a polynomial framework. We consider also deformations of the enveloping algebra of a rigid Lie algebra and we define valued deformations for some classes of non associative algebras.
引用
收藏
页码：345 / 365
页数：21
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