Second cohomology group of extended W-algebras

被引：0

作者：

Wang, Wei ^{[1
,2
]}

Wu, Yongping ^{[3
]}

Xia, Chunguang ^{[1
]}

机构：

[1] Univ Sci & Technol China, Wu Wen Tsun Key Lab Math, Hefei 230026, Peoples R China

[2] Ningxia Univ, Sch Math & Comp Sci, Yinchuan 750021, Peoples R China

[3] Longyan Univ, Sch Math & Comp Sci, Longyan 364000, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2011年 / 6卷 / 04期

基金：

中国国家自然科学基金;

关键词：

W-algebra; second cohomology group; central extension; LIE-ALGEBRAS; 2-COCYCLES; SUPERALGEBRAS; DERIVATIONS; MODULES;

D O I：

10.1007/s11464-011-0101-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let F be a field of characteristic 0, and let G be an additive subgroup of F. We define a class of infinite-dimensional Lie algebras W with an F-basis {L-mu, V-mu, W-mu | mu is an element of G}, which are very closely related to W-algebras. In this paper, the second cohomology group of W is determined.

引用

页码：745 / 758

页数：14

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