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arXiv · 1810.00616

Central Values for Clebsch-Gordan coefficients

Robert W. Donley Jr
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Abstract

We develop further properties of the matrices $M(m, n, k)$ defined by the author and W. G. Kim in a previous work. In particular, we continue an alternative approach to the theory of Clebsch-Gordan coefficients in terms of combinatorics and convex geometry. New features include a censorship rule for zeros, a sequence of 36-pointed stars of zeros, and another proof of Dixon's Identity. As a major application, we reinterpret the work of Raynal {\it et al.} on vanishing Clebsch-Gordan coefficients as a "middle-out" approach to computing $M(m, n, k).$

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Robert W. Donley Jr. 2018-10-01. Central Values for Clebsch-Gordan coefficients. https://arxiv.org/abs/1810.00616

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