2000 character limit reached
A rational theory for Clebsch-Gordan coefficients (1707.03022v2)
Published 10 Jul 2017 in math.RT
Abstract: A theory of Clebsch-Gordan coefficients for $SL(2, C)$ 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.