MODULES OF THE TOROIDAL LIE ALGEBRA (sic)

被引：0

作者：

Jing, N. ^{[1
]}

Wang, C. ^{[2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Yangtze Univ, Sch Informat & Math, Jingzhou 434023, Peoples R China

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 01期

关键词：

Double affine Lie algebras; Verma module; integrability; irreducibility; IRREDUCIBLE INTEGRABLE MODULES; DIMENSIONAL WEIGHT SPACES; VERMA MODULES; REPRESENTATIONS; CLASSIFICATION; AFFINE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Highest weight modules of the double affine Lie algebra sl(2) are studied under a new triangular decomposition. Singular vectors of Verma modules are determined using a similar condition with horizontal affine Lie subalgebras, and highest weight modules are described under the condition c(1) > 0 and c(2) = 0.

引用

页码：17 / 24

页数：8

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