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.
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页码：745 / 754
页数：10
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