Non-abelian homology of Lie algebras

被引：12

作者：

Inassaridze, N

Khmaladze, E

Ladra, M

机构：

[1] Georgian Acad Sci, A Razmadze Math Inst, GE-0193 Tbilisi, Georgia

[2] Univ Santiago de Compostela, Fac Math, Dept Algebra, Santiago De Compostela 15782, Spain

来源：

GLASGOW MATHEMATICAL JOURNAL | 2004年 / 46卷

关键词：

D O I：

10.1017/S0017089504001909

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Non-abelian homology of Lie algebras with coefficients in Lie algebras is constructed and studied, generalising the classical Chevalley-Eilenberg homology of Lie algebras. The relationship between cyclic homology and Milnor cyclic homology of non-commutative associative algebras is established in terms of the long exact non-abelian homology sequence of Lie algebras. Some explicit formulae for the second and the third non-abelian homology of Lie algebras are obtained.

引用

页码：417 / 429

页数：13

共 20 条

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