We show that every Weyl module for a current algebra has a filtration whose successive
quotients are isomorphic to Demazure modules, and that the path model for a tensor product …

Let X be a minuscule Schubert variety. In this paper, we associate a quiver with X and use
the combinatorics of this quiver to describe all relative minimal models ̂π: ̂X→ X. We …

This monograph represents an expanded version of a series of lectures given by V.
Lakshmibai on Grassmannian varieties at the workshop on “Geometric Representation …

Let G be a connected semisimple, simply connected linear algebraic group over an
algebraically closed field k and B be a Borel subgroup in G. If w=(P1,..., Pn) is a sequence of …

DEMAZURE MODULES OF LEVEL TWO AND PRIME REPRESENTATIONS OF QUANTUM
AFFINE sln+1 Page 1 J. Inst. Math. Jussieu (2018) 17(1), 75–105 doi:10.1017/S1474748015000407 …

Demazure crystals are subcrystals of highest weight irreducible g-crystals. In this article, we
study tensor products of a larger class of subcrystals, called extremal, and give a local …

For a minimal affinization over a quantum loop algebra of type $ BC $, we provide a
character formula in terms of Demazure operators and multiplicities in terms of crystal bases …

A Demazure module can be described as the space of global sections of a suitable line
bundle on a Schubert variety. A problem posed by the author in 1985 was to show that the …

In this article, we show in the ADE case that the fusion product of Kirillov–Reshetikhin
modules for a current algebra, whose character is expressed in terms of fermionic forms, can …

A Newton–Okounkov body is a convex body constructed from a projective variety with a
valuation on its homogeneous coordinate ring; this generalizes a Newton polytope for a toric …