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- Title
Differential Representations of the Lie Superalgebra C(n+1).
- Authors
Wu, Yuezhu; Yue, Xiaoqing; Zhu, Linsheng
- Abstract
In this paper, we realize Verma modules and the vector-coherent-state (VCS) representations of the orthosymplectic Lie superalgebra osp(2|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|2n) are explicitly given.
- Subjects
DIFFERENTIAL algebra; LIE superalgebras; COHERENT states; VERMA modules; DIFFERENTIAL operators; MATHEMATICAL analysis; MODULES (Algebra)
- Publication
Algebra Colloquium, 2012, Vol 19, Issue 4, p745
- ISSN
1005-3867
- Publication type
Article
- DOI
10.1142/S1005386712000624