On an Algebraic Method for the Decomposition of Direct Products of Representations of the Groups A2(SU(3)) and B2(SO(5))
- 1 October 1966
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 7 (10) , 1797-1801
- https://doi.org/10.1063/1.1704827
Abstract
A prescription for the decomposition of the direct product of two irreducible representations of A2 and B2 is given, which is completely general and direct, i.e., it does not make use of any auxiliary means like Young tableau or Cartan‐Stiefel diagrams although it is based on the latter. The addition of weights alone under the observation of certain rules gives the desired result. This method can in principle be generalized to the semisimple groups of arbitrary rank provided an algebraic expression for the multiplicities of the weights contained in an irreducible representation can be found.Keywords
This publication has 3 references indexed in Scilit:
- Characters of Irreducible Representations of the Simple Groups. II. Application to Classical GroupsJournal of Mathematical Physics, 1964
- Characters of Irreducible Representations of the Simple Groups. I. General TheoryJournal of Mathematical Physics, 1964
- The Octet Model and its Clebsch-Gordan CoefficientsReviews of Modern Physics, 1963