30 citations · 71 across the 13 of their papers we have counts for
10 papers · 1 filter
Tangent spaces and T-invariant curves of Schubert varieties
William Graham, Victor Kreiman
The set of T-invariant curves in a Schubert variety through a T-fixed point is relatively easy to characterize in terms of its weights, but the tangent space is more difficult. We…
Equivariant K-theory and tangent spaces to Schubert varieties
William Graham, Victor Kreiman
Tangent spaces to Schubert varieties of type A were characterized by Lakshmibai and Seshadri. This result was extended to the other classical types by Lakshmibai. We give a uniform…
Cominuscule points and Schubert varieties
William Graham, Victor Kreiman
We introduce the notion of a cominuscule point in a Schubert variety in a generalized flag variety for a semisimple group. We derive formulas expressing the Hilbert series and mult…
Equivariant Littlewood-Richardson Skew Tableaux
V. Kreiman
We give a positive equivariant Littlewood-Richardson rule also discovered independently by Molev. Our proof generalizes a proof by Stembridge of the ordinary Littlewood-Richardson…
Schubert Classes in the Equivariant K-Theory and Equivariant Cohomology of the Lagrangian Grassmannian
V. Kreiman
We give positive formulas for the restriction of a Schubert Class to a T-fixed point in the equivariant K-theory and equivariant cohomology of the Lagrangian Grassmannian. Our form…
Schubert Classes in the Equivariant K-Theory and Equivariant Cohomology of the Grassmannian
V. Kreiman
We give positive formulas for the restriction of a Schubert Class to a T-fixed point in the equivariant K-theory and equivariant cohomology of the Grassmannian. Our formulas rely o…
Local Properties of Richardson Varieties in the Grassmannian via a Bounded Robinson-Schensted-Knuth Correspondence
V. Kreiman
We give an explicit Grobner basis for the ideal of the tangent cone at any T-fixed point of a Richardson variety in the Grassmannian, thus generalizing a result of Kodiyalam-Raghav…
On Ideal Generators for Affine Schubert Varieties
V. Kreiman, V. Lakshmibai, P. Magyar +1
We consider a certain class of Schubert varieties of the affine Grassmannian of type A. By embedding a Schubert variety into a finite-dimensional Grassmannian, we construct an expl…
Richardson Varieties in the Grassmannian
Victor Kreiman, V. Lakshmibai
The Richardson variety is defined to be the intersection of the Schubert variety and the opposite Schubert variety . For in the Grassmannian, we obtain a…
Multiplicities of Singular Points in Schubert Varieties of Grassmannians
V. Kreiman, V. Lakshmibai
We give a closed-form formula for the Hilbert function of the tangent cone at the identity of a Schubert variety X in the Grassmannian in both group theoretic and combinatorial ter…