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Journal of Mathematical Physics / Volume 27 / Issue 1

J. Math. Phys. 27, 37 (1986); http://dx.doi.org/10.1063/1.527344 (16 pages)

Generating relations for reducing matrices. I. Ordinary representations

R. Dirl1, P. Kasperkovitz1, M. I. Aroyo2, J. N. Kotzev2, and M. Angelova‐Tjurkedjieva2

1Institut für Theoretische Physik, TU Wien, A‐1040 Wien, Karlsplatz 13, Austria
2Faculty of Physics, University of Sofia, Sofia‐1126, Bulgaria

(Received 22 April 1985; accepted 28 August 1985)

Auxiliary groups are constructed that make it possible to reduce the multiplicity problem and to derive consistent generating relations for the elements of reducing matrices. Three examples are worked out to illustrate the general scheme.

KEYWORDS and PACS

Keywords

MULTIPLICITY, MATRICES, GROUP THEORY, IRREDUCIBLE REPRESENTATIONS, MATRIX ALGEBRA, SYMMETRY, POINT GROUPS, ATOMS

PACS

  • 02.20.Qs

    General properties, structure, and representation of Lie groups

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.527344

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

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