Mathematica 9 is now available

Wolfram Library Archive


Courseware Demos MathSource Technical Notes
All Collections Articles Books Conference Proceedings
Title

Structural Zeros of Racah Coefficients and Exceptional Lie Algebras
Author

G. Vanden Berghe
Journal / Anthology

Journal of Mathematical Physics
Year: 1994
Volume: 35
Issue: 1
Page range: 508-516
Description

A new realization of F4 in terms of SO (3) tensor operators (boson realization) is given. For the first time the internal representation (or bosons) does not correspond to the lowest-dimensional representation of the algebra. Also for the exceptional Lie algebra E7 a new realization in terms of SO (3) tensors is presented, this time constructed out of the lowest-dimensional E7 representation. It is shown that those two particular realizations provide a basis in which certain structural zeros of Racah's 6j symbol can be explained.
Subjects

*Mathematics > Algebra > Group Theory
*Mathematics > Calculus and Analysis > Differential Geometry