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

页码：345 / 365

页数：21

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