140 citations · 609 across the 35 of their papers we have counts for
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math.CO2010★ 7 cited
Primitive factorizations, Jucys-Murphy elements, and matrix models
Sho Matsumoto, Jonathan Novak
A factorization of a permutation into transpositions is called "primitive" if its factors are weakly ordered. We discuss the problem of enumerating primitive factorizations of perm…
math.ST2010★ 16 cited
General moments of the inverse real Wishart distribution and orthogonal Weingarten functions
Sho Matsumoto
Let be a random positive definite symmetric matrix distributed according to a real Wishart distribution and let be its inverse matrix. We compute genera…
math.CO2010★ 29 cited
Jucys-Murphy elements, orthogonal matrix integrals, and Jack measures
Sho Matsumoto
We study symmetric polynomials whose variables are odd-numbered Jucys-Murphy elements. They define elements of the Hecke algebra associated to the Gelfand pair of the symmetric gro…