Mukunda, N. (1969) Expansion of lie groups and representations of SL(3, C) Journal of Mathematical Physics, 10 (5). pp. 897-911. ISSN 0022-2488
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Official URL: http://link.aip.org/link/jmapaq/v10/i5/p897/s1
Related URL: http://dx.doi.org/10.1063/1.1664919
Abstract
We show that in any unitary representation of SL(3, C) belonging to the principal series, the generators can be expressed as functions of the generators of a suitably chosen unitary representation of the non-semisimple group SU(3) × T8. Both the nondegenerate and the degenerate series are considered. Since the representations of SU(3) × T8 in an SU(3) basis are known, this provides a solution to the multiplicity problem in setting up the SL(3, C) representations in an SU(3) basis.
Item Type: | Article |
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Source: | Copyright of this article belongs to American Institute of Physics. |
ID Code: | 25342 |
Deposited On: | 06 Dec 2010 13:33 |
Last Modified: | 08 Jun 2011 05:24 |
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