The Clebsch–Gordan coefficients of S n
- 1 August 1977
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 18 (8), 1697-1704
- https://doi.org/10.1063/1.523470
Abstract
Ordering schemes for the frames and tableaux of Sn are presented, and some results, expressible in terms of these, are developed. A formula is derived for the sign function on tableaux. A table of the nonzero Clebsch–Gordon coefficients for the ’’working triplets’’ is given. Methods are described, and a needed table supplied, for finding the other coefficients from the tabulated ones. The values are for n=2,...,6, with the coefficients for n=6 relegated to PAPS.Keywords
This publication has 2 references indexed in Scilit:
- The decomposition of the tensor product of representations of the symmetric groupJournal of Mathematical Physics, 1977
- Unitary Groups: Representations and DecompositionsReviews of Modern Physics, 1966