Quasifinite modules of a Lie algebra related to Block type

被引：27

作者：

Wang, Qing ^{[1
]}

Tan, Shaobin ^{[1
]}

机构：

[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2007年 / 211卷 / 03期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/j.jpaa.2007.03.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let 8 be the universal central extension of a graded Lie algebra of Block type. In this paper, it is proved that any quasifinite irreducible B-module is either highest weight, lowest weight or uniformly bounded. Furthermore, the quasifinite irreducible highest weight B-modules are classified, and the intermediate series S-modules are classified and constructed. (c) 2007 Elsevier B.V. All rights reserved.

引用

页码：596 / 608

页数：13

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