The c-matrix and the reality classification of the representations of the homogeneous lorentz group .1. Irreducible representations of so(3,1)

Gopala Rao, A. V. and Narahari, B. S. and Srinivasa Rao, K. N. (1995) The c-matrix and the reality classification of the representations of the homogeneous lorentz group .1. Irreducible representations of so(3,1). JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 28 (4). pp. 957-966. ISSN 0305-4470

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Abstract

A basis-independent criterion for the classification of irreducible group representations, into potentially-real, pseudo-real and essentially-complex representations, is given for an arbitrary group which may also possess infinite-dimensional representations. These considerations are applied, in particular, to the finite- and infinite-dimensional representations D(j(0), c) of the orthochronous proper Lorentz group SO(3, 1) and it is shown that the irreps which are neither unitary nor pseudo-unitary are essentially-complex. Further, among the unitary and pseudo-unitary irreps of SO(3, 1), those irreps with a half-odd-integer j(0) are shown to be pseudo-real, while the others with an integer j(0) (including zero) are potentially-real.

Item Type: Article
Additional Information: Unmapped bibliographic data: DA - 1995/02/21/ [EPrints field already has value set] LA - English [Field not mapped to EPrints]
Subjects: Physical Sciences > Physics
Divisions: PG Campuses > Manasagangotri, Mysore > Physics
Depositing User: Users 23 not found.
Date Deposited: 03 May 2013 05:37
Last Modified: 30 Aug 2013 05:32
URI: http://eprints.uni-mysore.ac.in/id/eprint/7482

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