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.
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页码：596 / 608
页数：13
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