Differential Representations of the Lie Superalgebra C(n+1)

被引：0

作者：

Wu, Yuezhu ^{[1
,2
]}

Yue, Xiaoqing ^{[3
]}

Zhu, Linsheng ^{[1
]}

机构：

[1] Changshu Inst Technol, Dept Math, Changshu 215500, Jiangsu, Peoples R China

[2] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[3] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

ALGEBRA COLLOQUIUM | 2012年 / 19卷 / 04期

关键词：

differential operators; Verma modules; singular vectors; COHERENT-STATE THEORY; KAC-MODULES; CHARACTER; FORMULAS;

D O I：

10.1142/S1005386712000624

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we realize Verma modules and the vector-coherent-state (VCS) representations of the orthosymplectic Lie superalgebra osp(2 vertical bar 2n) as differential operators with vector coefficients. We also characterize simple sub-representations of VCS representations as kernels of some finite number of differential operators. The singular vectors of the atypical representation of osp(2 vertical bar 2n) are explicitly given.

引用

页码：745 / 754

页数：10

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