Realizations of F4 in SO(3)⊗SO(3) bases and structural zeros of the 6 j-symbol

1 April 1984

journal article
research article
Published by AIP Publishing in Journal of Mathematical Physics

Vol. 25 (4) , 751-754
https://doi.org/10.1063/1.526262

Abstract

The decompositon of F₄ irreps in the group chains F₄⊇SO(3)⊗G₂⊇SO(3)⊗SO(3) and F₄⊇SO(3)⊗Sp(6)⊇SO(3)⊗SO(3) is considered. In both cases a realization of the F₄ Lie algebra in terms of SO(3)⊗SO(3) tensor operators is established. From these, the nontrivial vanishing of certain 6 j‐coefficients is explained.

Keywords

LIE GROUPS
IRREDUCIBLE REPRESENTATIONS
ALGEBRAS
MATHEMATICAL OPERATORS
TENSORS
SO−3 GROUPS
SP GROUPS
RACAH COEFFICIENTS

This publication has 2 references indexed in Scilit:

Boson realisation of the Lie algebra F₄and non-trivial zeros of 6j symbols
Journal of Physics A: General Physics, 1983
The groupF 4 and its generators
Il Nuovo Cimento B (1971-1996), 1969