TY  - BOOK
AU  - Ray, Papi 
AU  - Upadhyay, Shyamashree 
TI  - Schubert varieties in the Grassmannian and the symplectic Grassmannian via a bounded RSK correspondence (Journal Article)
SN  - 0019-5588
PY  - 2023///
CY  - New Delhi 
KW  - Grassmannian| Symplectic Grassmannian| Schubert variety| Tangent cone| Hilbert function| RSK correspondence
N1  - ***______{For Hard Copy, Please visit Library.}________***


N2  - Abstract: In a paper by Kodiyalam 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 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. As an application, we prove that the bijection given in a paper of Ghorpade and Raghavan (for the symplectic Grassmannian) is also a bounded RSK correspondence
UR  - https://doi.org/10.1007/s13226-022-00334-6
ER  -