Ray, Papi creator Upadhyay, Shyamashree text New Delhi , 2023 monographic eng

print

1187-1213p. 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. ***______{For Hard Copy, Please visit Library.}________*** Grassmannian| Symplectic Grassmannian| Schubert variety| Tangent cone| Hilbert function| RSK correspondence 0019-5588 https://doi.org/10.1007/s13226-022-00334-6 https://doi.org/10.1007/s13226-022-00334-6 240205 20240205123018.0