Journal article
Unitary Irreducible Representations of SL (3, R)
Journal of mathematical physics, v 7(7), pp 1284-1294
Jul 1966
Abstract
It is shown that to each finite‐dimensional single‐valued irreducible representation of SL(3, R) there corresponds an infinite‐dimensional representation which is unitary on any member of a certain one‐parameter family of Hilbert spaces. We set up an eigenfunction problem for the members of a three‐parameter family of Hilbert subspaces on which such a unitary representation is irreducible. The relatively simple but especially important three‐dimensional case is worked out completely. Unitary irreducible representations for the unimodular real linear groups SL(N, R) with N > 3 and their subgroups can be obtained by generalizing the formalism described here.
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Details
- Title
- Unitary Irreducible Representations of SL (3, R)
- Creators
- Gerald Rosen - Southwest Research InstituteSouthwest Research Inst., San Antonio
- Publication Details
- Journal of mathematical physics, v 7(7), pp 1284-1294
- Publisher
- American Institute of Physics (AIP); WOODBURY
- Number of pages
- 11
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Physics
- Web of Science ID
- WOS:A19668062800015
- Scopus ID
- 2-s2.0-36849098971
- Other Identifier
- 991020705356704721