Obstructions to Lie-Rinehart Algebra Extensions

被引：7

作者：

Casas, J. M. ^{[1
]}

机构：

[1] Univ Vigo, Dept Matemat Aplicada 1, Pontevedra 36005, Spain

来源：

ALGEBRA COLLOQUIUM | 2011年 / 18卷 / 01期

关键词：

Lie-Rinehart algebra; action; cohomology of Lie-Rinehart algebras; extension; abstract kernel; COHOMOLOGY;

D O I：

10.1142/S1005386711000046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem of the representation of an action of a Lie-Rinehart algebra on a Lie A-algebra by means of a homomorphism of Lie-Rinehart algebras is studied. An eight-term exact sequence associated to an epimorphism of Lie-Rinehart algebras for the cohomology of Lie-Rinehart algebras developed by Casas, Ladra and Pirashvili is obtained. This sequence is applied to study the obstruction theory of Lie-Rinehart algebra extensions.

引用

页码：83 / 104

页数：22

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