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arXiv · 2107.09463

Lattice path enumeration for semi-magic squares of size three

Robert W. Donley Jr
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Abstract

We give formulas for enumerating directed paths in the graded poset of semi-magic squares of size three. We give two applications of these formulas: an advanced example of Vandermonde convolution for finite graded posets, and a direct method for deriving Regge symmetry formulas for un-normalized Clebsch-Gordan coefficients.

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Robert W. Donley Jr. 2021-12-26. Lattice path enumeration for semi-magic squares of size three. https://arxiv.org/abs/2107.09463

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