LOW-DIMENSIONAL COHOMOLOGY GROUPS OF THE LIE ALGEBRAS W(a, b)

被引：39

作者：

Gao, Shoulan ^{[2
]}

Jiang, Cuipo ^{[1
]}

Pei, Yufeng ^{[1
]}

机构：

[1] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China

[2] Huzhou Teachers Coll, Dept Math, Zhejiang, Huzhou, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 02期

关键词：

Central extension; Derivation algebra; Witt algebra; LEIBNIZ CENTRAL EXTENSIONS; 2ND COHOMOLOGY;

D O I：

10.1080/00927871003591835

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we determine one-dimensional (Leibniz) central extensions, the derivation algebra, and the automorphism group of the infinite-dimensional Lie algebra W(a, b) (for a, b is an element of C) which is the semidirect product Lie algebra of the Witt algebra and its tensor density module I(a, b).

引用

页码：397 / 423

页数：27

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