11 citations · 17 across the 4 of their papers we have counts for
5 papers
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…
Littelmann paths for the basic representation of an affine Lie algebra
Peter Magyar
We give a new model for the crystal graphs of an affine Lie algebra g^, combining Littelmann's path model with the Kyoto path model. The vertices of the crystal graph are represent…
Affine Schubert Varieties and Circular Complexes
Peter Magyar
Schubert varieties have been exhaustively studied with a plethora of techniques: Coxeter groups, explicit desingularization, Frobenius splitting, etc. Many authors have applied the…
Bruhat order for two flags and a line
Peter Magyar
The classical Ehresmann-Bruhat order describes the possible degenerations of a pair of flags in a linear space V under linear transformations of V; or equivalently, it describes th…