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Extremal vectors for Verma-type representations of su(2, 2) |
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| Authors: | Č. Burdík O. Navrátil |
| Affiliation: | 1. Department of Mathematics, Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Prague, Czech Republic 2. Department of Mathematics, Czech Technical University in Prague, Faculty of Transportation Sciences, Prague, Czech Republic |
| Abstract: | Starting from the Verma modules of the algebra sl(4, ?) we explicitly construct factor representations of the algebra su(2, 2) which are connected with unitary representation of group SU(2, 2). We find a full set of extremal vectors for this kind of representations, so we can solve explicitly the problem of irreducibility of these representations. |
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