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.

引用

页数：17

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