Schubert varieties in the Grassmannian and the symplectic Grassmannian via a bounded RSK correspondence

DOI10.1007/s13226-022-00334-6zbMath1528.14061arXiv1903.11093MaRDI QIDQ6089330

Papi Ray, Shyamashree Upadhyay

Publication date: 14 December 2023

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.11093

zbMATH Keywords

Schubert varietyHilbert functionGrassmanniantangent coneRSK correspondencesymplectic Grassmannian

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Grassmannians, Schubert varieties, flag manifolds (14M15)

Cites Work

• Unnamed Item
• Local properties of Richardson varieties in the Grassmannian via a bounded Robinson-Schensted-Knuth correspondence
• Governing singularities of Schubert varieties
• Gröbner bases and multiplicity of determinantal and Pfaffian ideals
• Hilbert functions of points on Schubert varieties in Grassmannians.
• Gröbner bases and Stanley decompositions of determinantal ideals
• Initial ideals of tangent cones to the Richardson varieties in the orthogonal Grassmannian
• Standard monomial theory. Invariant theoretic approach
• A Gröbner basis for Kazhdan-Lusztig ideals
• Hilbert functions of points on Schubert varieties in the symplectic Grassmannian
• Excited Young diagrams, equivariant $K$-theory, and Schubert varieties

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