11 citations · 46 across the 19 of their papers we have counts for
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math.CO2023
Planar algebras for the Young graph and the Khovanov Heisenberg category
Shinji Koshida
This paper studies planar algebras of Jones' style associated with the Young graph. We first see that, given a positive real valued function on the Young graph, we may obtain a pla…
math.CO2021★ 1 cited
Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category
Shinji Koshida
In this paper, we study relationships between the normalized characters of symmetric groups and the Boolean cumulants of Young diagrams. Specifically, we show that each normalized…
math.CO2020★ 6 cited
Free field theory and observables of periodic Macdonald processes
Shinji Koshida
We propose periodic Macdonald processes as a -deformation of periodic Schur processes and a periodic analogue of Macdonald processes. It is known that, in the theory of stoc…