2 citations · 3 across the 4 of their papers we have counts for
6 papers
A weight multiplicity formula for Demazure modules
Bogdan Ion
We establish a formula for the weight multiplicities of Demazure modules (in particular for highest weight representations) of a complex connected algebraic group in terms of the g…
Nonsymmetric Macdonald polynomials and matrix coefficients for unramified principal series
Bogdan Ion
We show how a certain limit of the nonsymmetric Macdonald polynomials appears in the representation theory of semisimple groups over p--adic fields as matrix coefficients for the u…
Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials
Bogdan Ion
We establish a connection between (degenerate) nonsymmetric Macdonald polynomials and standard bases and dual standard bases of maximal parabolic modules of affine Hecke algebras.…
The Cherednik kernel and generalized exponents
Bogdan Ion
We show how the knowledge of the Fourier coefficients of the Cherednik kernel leads to combinatorial formulas for generalized exponents. We recover known formulas for generalized e…
Involutions of double affine Hecke algebras
Bogdan Ion
The main aim of the paper is to formulate and prove a result about the structure of double affine Hecke algebras which allows its two commutative subalgebras to play a symmetric ro…
Nonsymmetric Macdonald polynomials and Demazure characters
Bogdan Ion
We establish a connection between a specialization of the nonsymmetric Macdonald polynomials and the Demazure characters of the corresponding affine Kac-Moody algebra. This allows…