De Meyer, Philippe and Vanden Berghe (1982) SO(2n+1) in an SO(2n3)?SU(2)?SU(2) basis. I. Reduction of the symmetric representations. Journal of Physics A: Mathematical and General, 15 (9). pp. 26652676. ISSN 03054470. (doi:10.1088/03054470/15/9/017) (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/10.1088/03054470/15/9/017 
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(2n3)(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 semisimple subgroup can be combined into a mixed tensorspinor 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:  10.1088/03054470/15/9/017 
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):