De Meyer, Philippe and Vanden Berghe (1982) SO(2n+1) in an SO(2n-3)?SU(2)?SU(2) basis. I. Reduction of the symmetric representations. Journal of Physics A: Mathematical and General, 15 (9). pp. 2665-2676. ISSN 0305-4470. (doi:10.1088/0305-4470/15/9/017) (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) (KAR id:41763)
PDF
Language: English Restricted to Repository staff only |
|
|
|
Official URL: http://dx.doi.org/10.1088/0305-4470/15/9/017 |
Abstract
The branching rule for the reduction of symmetric irreducible unitary representations (IUR) of the simple Lie group SO(2n+1) into IUR of its maximal subgroup SO(2n-3)(X)SU(2)(X)SU(2) is established for all n>or=3. After the particular case n=3 is analysed in detail, a general proof is presented which is valid for all n>or=3. All branching rules (n=3,4,...) can be summed up in one formula. Also, a dimension verification is carried out. The generators of SO(2n+1) not belonging to the semi-simple subgroup can be combined into a mixed tensor-spinor representation with respect to the simple groups which occur in the direct product. The precise nature of that representation is indicated and discussed.
Item Type: | Article |
---|---|
DOI/Identification number: | 10.1088/0305-4470/15/9/017 |
Subjects: | Q Science |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Computing |
Depositing User: | Philippe De Wilde |
Date Deposited: | 16 Jul 2014 08:06 UTC |
Last Modified: | 16 Nov 2021 10:16 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/41763 (The current URI for this page, for reference purposes) |
- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV
- Depositors only (login required):