A rational theory for Clebsch-Gordan coefficients
Representation Theory
2021-10-28 v2
Abstract
A theory of Clebsch-Gordan coefficients for is given using only rational numbers. Features include orthogonality relations, recurrence relations, and Regge's symmetry group. Results follow from elementary representation theory and properties of binomial coefficients. A computational algorithm is given based on Pascal's recurrence.
Cite
@article{arxiv.1707.03022,
title = {A rational theory for Clebsch-Gordan coefficients},
author = {Robert W. Donley and Won Geun Kim},
journal= {arXiv preprint arXiv:1707.03022},
year = {2021}
}
Comments
16 pages: Final version. Minor corrections. To appear in Contemporary Mathematics (Representation Theory and Harmonic Analysis on Symmetric Spaces)