Central Values for Clebsch-Gordan coefficients
| Autor: | Donley Jr, Robert W. |
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| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Combinatorial and additive number theory III. Springer Proc. in Math. and Stat. 297, 75-100, Springer, NY (2019) |
| Druh dokumentu: | Working Paper |
| Popis: | 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 $M(m, n, k).$ Comment: 25 pages, 3 figures, minor corrections. To appear in Combinatorial and Additive Number Theory III (CUNY 2018), Springer 2019 |
| Databáze: | arXiv |
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