000			01456nam a22002057a 4500
005			20240205123018.0
008			240205b ||||| |||| 00| 0 eng d
022			_a0019-5588
100			_aRay, Papi
245			_aSchubert varieties in the Grassmannian and the symplectic Grassmannian via a bounded RSK correspondence (Journal Article)
260			_aNew Delhi _::Indian National Science Academy | Springer _c, 2023
300			_a1187-1213p.
440			_aIndian Journal of Pure and Applied Mathematics _v, Volume 54: Number 4, December 2023
505			_a***______{For Hard Copy, Please visit Library.}________***
520			_aAbstract: 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.
650			_aGrassmannian| Symplectic Grassmannian| Schubert variety| Tangent cone| Hilbert function| RSK correspondence
700			_aUpadhyay, Shyamashree
856			_uhttps://doi.org/10.1007/s13226-022-00334-6
942			_cPER
999			_c45422 _d45421