2019/03/25 by Upadhyay, Shyamashree, Ray, Papi
#05E10 #14M15 #Combinatorics (math.CO) #FOS: Mathematics
paper · doi:10.48550/arxiv.1903.11093
In a paper by Ghorpade and Raghavan, they provide an explicit combinatorial description of the Hilbert function of the tangent cone at any point on a Schubert variety in the symplectic Grassmannian, by giving a certain "degree-preserving" bijection between a set of monomials defined by an initial ideal and a "standard monomial basis". We prove here that this bijection is in fact a bounded RSK correspondence.