Obstructions to Lie-Rinehart Algebra Extensions

被引：6
|
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.
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页码：83 / 104
页数：22
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