Published October 1984
| Published
Journal Article
Open
General charge conjugation operators in simple Lie groups
- Creators
- Moody, R. V.
- Patera, J.
Abstract
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.
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.Attached Files
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Additional details
- Eprint ID
- 11079
- Resolver ID
- CaltechAUTHORS:MOOjmp84
- Natural Sciences and Engineering Research Council of Canada (NSERC)
- Ministère de l'Education du Québec
- Fleischmann Foundation
- Alfred P. Sloan Foundation
- Weingart Foundation
- Created
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2008-07-16Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field