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Title: Extremal vectors for Verma-type representations of su(2, 2)

Journal Article · · Physics of Atomic Nuclei
 [1]
  1. Czech Technical University in Prague, Faculty of Transportation Sciences, Department of Mathematics (Czech Republic)

Starting from the Verma modules of the algebra sl(4, Double-Struck-Capital-C ) 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.

OSTI ID:
22212681
Journal Information:
Physics of Atomic Nuclei, Vol. 76, Issue 8; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
Country of Publication:
United States
Language:
English

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