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Application of generating function techniques to Lie superalgebras (1985)

Sharp, R. T. ; Van der Jeugt, J. ; Hughes, J. W. B.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 26 (1985), S. 901-912

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: 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).

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.526546

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