30 citations · 97 across the 22 of their papers we have counts for
25 papers
Bounded Littlewood identities with fixed number of odd rows or odd columns
JiSun Huh, Jang Soo Kim, Christian Krattenthaler +1
A Littlewood identity is an identity equating a sum of Schur functions with an infinite product. A bounded Littlewood identity is one where the sum is taken over the partitions wit…
Bounded Littlewood identities for cylindric Schur functions
JiSun Huh, Jang Soo Kim, Christian Krattenthaler +1
The identities which are in the literature often called ``bounded Littlewood identities" are determinantal formulas for the sum of Schur functions indexed by partitions with bounde…
Extended Schur's -functions and the full Kostant--Toda hierarchy on the Lie algebra of type
Yuji Kodama, Soichi Okada
The full Kostant--Toda hierarchy on a semisimple Lie algebra is a system of Lax equations, in which the flows are determined by the gradients of the Chevalley invariants.This paper…
Intermediate symplectic characters and shifted plane partitions of shifted double staircase shape
Soichi Okada
We use intermediate symplectic characters to give a proof and variations of Hopkins' conjecture, now proved by Hopkins and Lai, on the number of shifted plane partitions of shifted…
Symplectic Q-functions
Soichi Okada
Symplectic -functions are a symplectic analogue of Schur -functions and defined as the specialization of Hall--Littlewood functions associated with the root system of…
Birational rowmotion and coxeter-motion on minuscule posets
Soichi Okada
Birational rowmotion is a discrete dynamical system on the set of all positive real-valued functions on a finite poset, which is a birational lift of combinatorial rowmotion on ord…