5 citations · 6 across the 4 of their papers we have counts for
8 papers
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…
Standard Bases for Affine SL(n)-Modules
V. Kreiman, V. Lakshmibai, P. Magyar +1
We give an elementary and easily computable basis for the Demazure modules in the basic representation of the affine Lie algebra sl(n)-hat (and the loop group SL(n)-hat). A novel f…
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…