1 citations · 1 across the 5 of their papers we have counts for
7 papers
Lattice path enumeration for semi-magic squares by Latin rectangles
Robert W. Donley, Won Geun Kim
Similar to how standard Young tableaux represent paths in the Young lattice, Latin rectangles may be use to enumerate paths in the poset of semi-magic squares with entries zero or…
Semi-magic matrices for dihedral groups
Robert W. Donley
After reviewing the group structure and representation theory for the dihedral group we consider an intertwining operator from the group algebra $\mathbb{C}[D_{2n}]…
Lattice path enumeration for semi-magic squares of size three
Robert W. Donley
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 Vandermo…
Partitions for semi-magic squares of size three
Robert W. Donley
In the theory of Clebsch-Gordan coefficients, one may recognize the domain space as the set of weakly semi-magic squares of size three. Two partitions on this set are considered: a…
Binomial arrays and generalized Vandermonde identities
Robert W. Donley
In previous work on Clebsch-Gordan coefficients, certain remarkable hexagonal arrays of integers are constructed that display behaviors found in Pascal's Triangle. We explain these…
Central Values for Clebsch-Gordan coefficients
Robert W. Donley
We develop further properties of the matrices defined by the author and W. G. Kim in a previous work. In particular, we continue an alternative approach to the theory…
A rational theory for Clebsch-Gordan coefficients
Robert W. Donley, Won Geun Kim
A theory of Clebsch-Gordan coefficients for is given using only rational numbers. Features include orthogonality relations, recurrence relations, and Regge's symmetry gr…