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General charge conjugation operators in simple Lie groups

Moody, R. V. and Patera, J. (1984) General charge conjugation operators in simple Lie groups. Journal of Mathematical Physics, 25 (10). pp. 2838-2847. ISSN 0022-2488.

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A description of particular elements ("charge conjugation operators") found in any compact simple Lie group K is presented. Such elements Ri transform a physical state (weight vector of a basis of a representation space) into others with opposite "charge" (ith component of the weight), sometime changing also the sign of the state. It is demonstrated that exploitation of these elements and the finite subgroup N of K generated by them offer new powerful methods for computing with representations of the Lie group. Their application to construction of bases in representation spaces is considered in detail. It represents a completely new direction to the problem.

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Additional Information:© 1984 American Institute of Physics. Received 22 February 1984; accepted for publication 18 May 1984. Both authors are grateful for the hospitality of the Aspen Center for Physics where an early version of this article was put together. Work was supported in part by the Natural Science and Engineering Research Council of Canada, by the Ministère de l'Education du Québec, and by the Fleischmann, Sloan, and Weingart Foundations.
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Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Ministère de l'Education du QuébecUNSPECIFIED
Fleischmann FoundationUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Weingart FoundationUNSPECIFIED
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11079
Deposited By: Tony Diaz
Deposited On:16 Jul 2008 22:37
Last Modified:26 Dec 2012 10:08

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