Application of generating function techniques to Lie superalgebras
- 1 May 1985
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 26 (5) , 901-912
- https://doi.org/10.1063/1.526546
Abstract
The construction of generating functions for multiplicities of irreducible representations of Lie superalgebras from generating functions for characters is examined, and applied in order to obtain polynomial tensors and branching rules. Problems arising because of the existence of typical and atypical representations are discussed in detail. The techniques are applied to osp(1,2), spl(1,2), osp(3,2), and osp(4,2).Keywords
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