We give a recursive method for computing all values of a basis of Whittaker functions for
unramified principal series invariant under an Iwahori or parahoric subgroup of a split …

Abstract We study the Demazure–Lusztig operators induced by the left multiplication on
partial flag manifolds. We prove that they generate the Chern–Schwartz–MacPherson …

Motivic Chern classes are elements in the K-theory of an algebraic variety $ X $, depending
on an extra parameter $ y $. They are determined by functoriality and a normalization …

The equivariant motivic Chern class of a Schubert cell in acomplete'flag manifold $ X= G/B $
is an element in the equivariant K theory ring of $ X $ to which one adjoins a formal …

In this paper we consider Iwahori Whittaker functions on $ n $-fold metaplectic covers
$\widetilde {G} $ of $\mathbf {G}(F) $ with $\mathbf {G} $ a split reductive group over a non …

The purpose of this article is to work out the details of the Ram–Yip formula for nonsymmetric
Macdonald–Koornwinder polynomials for the double affine Hecke algebras of not …

This paper surveys a new actively developing direction in contemporary mathematics which
connects quantum integrable models with the Schubert calculus for quiver varieties: there is …

We introduce common generalization of (double) Schubert, Grothendieck, Demazure, dual
and stable Grothendieck polynomials, and Di Francesco-Zinn-Justin polynomials. Our …

It has previously been shown that, at least for non-exceptional Kac-Moody Lie algebras,
there is a close connection between Demazure crystals and tensor products of Kirillov …

We introduce a q-weighted version of the Robinson-Schensted (column insertion) algorithm
which is closely connected to q Whittaker functions (or Macdonald polynomials with t=0) and …