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

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.
Authors:
 [1] ;  [2]
  1. Czech Technical University in Prague, Faculty of Nuclear Sciences and Physical Engineering, Department of Mathematics (Czech Republic)
  2. Czech Technical University in Prague, Faculty of Transportation Sciences, Department of Mathematics (Czech Republic)
Publication Date:
OSTI Identifier:
22212681
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Atomic Nuclei; Journal Volume: 76; Journal Issue: 8; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; QUANTUM GROUPS; VECTORS