01456nam a22002057a 4500 20240205123018.0 240205b ||||| |||| 00| 0 eng d 0019-5588 Ray, Papi Schubert varieties in the Grassmannian and the symplectic Grassmannian via a bounded RSK correspondence (Journal Article) New Delhi :Indian National Science Academy | Springer , 2023 1187-1213p. Indian Journal of Pure and Applied Mathematics , Volume 54: Number 4, December 2023 ***______{For Hard Copy, Please visit Library.}________*** 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. Grassmannian| Symplectic Grassmannian| Schubert variety| Tangent cone| Hilbert function| RSK correspondence Upadhyay, Shyamashree https://doi.org/10.1007/s13226-022-00334-6 PER 0 0 0 0 RIEBPL RIEBPL 2024-02-05 0 2024-02-05 00:00:00 2024-02-05 PER 45422 45421