30 citations · 97 across the 22 of their papers we have counts for
5 papers · 1 filter
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…
Two enriched poset polytopes
Soichi Okada, Akiyoshi Tsuchiya
Stanley introduced and studied two lattice polytopes, the order polytope and chain polytope, associated to a finite poset. Recently Ohsugi and Tsuchiya introduce an enriched versio…
Merged-log-concavity of rational functions, almost strictly unimodal sequences, and phase transitions of ideal boson-fermion gases
So Okada
We obtain some new results on the unimodal sequences of the real values of rational functions by polynomials with positive integer coefficients. Thus, we introduce the notion of me…