5 citations · 6 across the 4 of their papers we have counts for
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Standard monomial bases and geometric consequences for certain rings of invariants
V. Lakshmibai, P. Shukla
Consider the diagonal action of on the affine space where an algebraically closed field of arbitrary characteristic and…
Equivariant Giambelli and determinantal restriction formulas for the Grassmannian
V. Lakshmibai, K. N. Raghavan, P. Sankaran
The main result of the paper is a determinantal formula for the restriction to a torus fixed point of the equivariant class of a Schubert subvariety in the torus equivariant integr…
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…
Richardson Varieties and Equivariant K-Theory
V. Lakshmibai, Peter Littelmann
We generalize Standard Monomial Theory (SMT) to intersections of Schubert varieties and opposite Schubert varieties; such varieties are called Richardson varieties. The aim of this…
A geometric approach to Standard Monomial Theory
M. Brion, V. Lakshmibai
We obtain a geometric construction of a ``standard monomial basis'' for the homogeneous coordinate ring associated with any ample line bundle on any flag variety. This basis is com…