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Journal of Physics A: Mathematical and GeneralVolume 29, Issue 24, 21 December 1996, Pages 7983-7991

Casimir operators and group projectors(Article)

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  • aFaculty of Physics, The University, PO Box 368, 11001 Beograd, Yugoslavia
  • bFaculty of Forestry, The University, Kneza Višeslava 1, 11000, Beograd, Yugoslavia

Abstract

The technique for determination of the symmetry adapted bases for finite-dimensional representations of the Lie groups is developed, in analogy to the finite group theory. The method uses the corresponding Lie algebra, and relates the group projectors to the Casimir operators. As an application to the semisimple algebras, the general formula for generating function of the values of the Casimir operators is established.

  • ISSN: 03054470
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1088/0305-4470/29/24/022
  • Document Type: Article

  Damnjanović, M.; Faculty of Physics, The University, PO Box 368, Yugoslavia;
© Copyright 2005 Elsevier B.V., All rights reserved.

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