140 citations · 609 across the 35 of their papers we have counts for
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math.CO2018★ 3 cited
Linear versus spin: representation theory of the symmetric groups
Sho Matsumoto, Piotr Śniady
We relate the linear asymptotic representation theory of the symmetric groups to its spin counterpart. In particular, we give explicit formulas which express the normalized irreduc…
math.CO2018★ 1 cited
Stanley character formula for the spin characters of the symmetric groups
Sho Matsumoto, Piotr Śniady
We give a new formula for the irreducible spin characters of the symmetric groups. This formula is analogous to Stanley's character formula for the usual (linear) characters of the…
math.CO2018★ 3 cited
A Spin Analogue of Kerov Polynomials
Sho Matsumoto
Kerov polynomials describe normalized irreducible characters of the symmetric groups in terms of the free cumulants associated with Young diagrams. We suggest well-suited counterpa…