Classification of Z2-graded modules of intermediate series over a Block-type Lie algebra

被引：3
|
作者：
Su, Yucai [1 ]
Yue, Xiaoqing [1 ]
机构：
[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2015年 / 17卷 / 05期
关键词：
Modules of the intermediate series; Lie algebra of Block type; Virasoro algebra; RANK VIRASORO ALGEBRAS; HARISH-CHANDRA MODULES; QUASIFINITE REPRESENTATIONS; WEIGHT MODULES;
D O I：
10.1142/S0219199715500595
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let L be the Lie algebra of Block type with basis {L-i,L- j vertical bar i, j is an element of Z} and relations [L-i,L- j, L-k,L- l] = (( j + 1) k - (l + 1)i) L-i vertical bar k,L- j vertical bar l. Since L is Z(2)-graded, it is natural to study Z(2)-graded modules over L. In this paper, Z(2)-graded L-modules of the intermediate series are classified.
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页数：17
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