Ray, Papi  <br/><br/>
Schubert varieties in the Grassmannian and the symplectic Grassmannian via a bounded RSK correspondence (Journal Article) 

 - New Delhi   , 2023 
 - 1187-1213p. 
 - Indian Journal of Pure and Applied Mathematics   , Volume 54: Number 4, December 2023 .
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<br/><br/> 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. 
<br/><br/><label>ISSN: </label>0019-5588 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Grassmannian| Symplectic Grassmannian| Schubert variety| Tangent cone| Hilbert function| RSK correspondence