Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Nonsymmetric Macdonald polynomials and Demazure characters. - MaRDI portal

Nonsymmetric Macdonald polynomials and Demazure characters.

From MaRDI portal
Publication:1872815

DOI10.1215/S0012-7094-03-11624-5zbMath1039.33008arXivmath/0105061MaRDI QIDQ1872815

Bogdan Ion

Publication date: 2003

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0105061




Related Items

A Steinberg type decomposition theorem for higher level Demazure modulesNonsymmetric Macdonald polynomials and matrix coefficients for unramified principal seriesDuality theorems for current groupsUpper bounds of Schubert polynomialsGeneralized Weyl modules and nonsymmetric \(q\)-Whittaker functionsDemazure character formula for semi-infinite flag varietiesSpherical and Whittaker functions via DAHA. I.Spherical and Whittaker functions via DAHA. II.Macdonald polynomials and level two Demazure modules for affine \(\mathfrak{sl}_{n+1}\)Generalized Weyl modules, alcove paths and Macdonald polynomialsConstant term identities and Poincaré polynomialsHall-Littlewood polynomials and characters of affine Lie algebrasRepresentation-theoretic interpretation of Cherednik-Orr's recursion formula for the specialization of nonsymmetric Macdonald polynomials at \(t = \infty\)Quasisymmetric Schur functionsThe number of flags in finite vector spaces: asymptotic normality and Mahonian statisticsOne-dimensional nil-DAHA and Whittaker functions. I.Vertex algebras and coordinate rings of semi-infinite flagsCrystal energy functions via the charge in types \(A\) and \(C\)Cylindric versions of specialised Macdonald functions and a deformed Verlinde algebraWeyl modules for toroidal Lie algebrasA uniform model for Kirillov-Reshetikhin crystals. III: Nonsymmetric Macdonald polynomials at \(t = 0\) and Demazure charactersMultiplicity-free key polynomialsSpecializing Koornwinder polynomials to Macdonald polynomials of type \(B\), \(C\), \(D\) and \(BC\)Quantum affine algebras, graded limits and flagsDemazure crystals and the Schur positivity of Catalan functionsSpecializations of nonsymmetric Macdonald-Koornwinder polynomialsGeneralized Weyl modules for twisted current algebrasRogers-Ramanujan type identities and nil-DAHASemistandard tableaux for Demazure characters (key polynomials) and their atomsAsymmetric Function TheoryPositive Level, Negative Level and Level ZeroWhittaker functions and Demazure operatorsBGG reciprocity for current algebrasMacdonald polynomials and BGG reciprocity for current algebrasLevel one Weyl modules for toroidal Lie algebrasStandard bases for affine parabolic modules and nonsymmetric Macdonald polynomialsFrom Macdonald polynomials to a charge statistic beyond type \(A\)Coxeter combinatorics and spherical Schubert geometryLattice Points in the Newton Polytopes of Key PolynomialsNonsymmetric Macdonald polynomials and PBW filtration: towards the proof of the Cherednik-Orr conjecturePieri rules for Schur functions in superspaceWeyl modules and \(q\)-Whittaker functionsAn analogue of the Robinson-Schensted-Knuth correspondence and non-symmetric Cauchy kernels for truncated staircasesProperties of non-symmetric Macdonald polynomials at \(q=1\) and \(q=0\)Vertices of SchubitopesNonsymmetric Rogers-Ramanujan sums and thick Demazure modulesOn \(q\)-deformed \(\mathfrak{gl}_{\ell+1}\)-Whittaker function. IIINonsymmetric Macdonald polynomials and a refinement of Kostka–Foulkes polynomialsDemazure crystals for specialized nonsymmetric Macdonald polynomialsA combinatorial formula for graded multiplicities in excellent filtrationsExtremal part of the PBW-filtration and nonsymmetric Macdonald polynomialsDouble Affine Hecke Algebras and Congruence GroupsPolynomial bases: Positivity and Schur multiplicationAn explicit construction of type A Demazure atomsNon-symmetric Cauchy kernels for the classical groupsAffine Demazure crystals for specialized nonsymmetric Macdonald polynomialsDemazure flags, \(q\)-Fibonacci polynomials and hypergeometric seriesSlide multiplicity free key polynomialsAsymptotics of generalized Galois numbers via affine Kac-Moody algebrasRepresentation theoretic realization of non-symmetric Macdonald polynomials at infinityNewton polytopes in algebraic combinatoricsYang–Baxter algebras, convolution algebras, and GrassmanniansA combinatorial study of affine Schubert varieties in the affine GrassmannianNonsymmetric difference Whittaker functionsSpecialization of nonsymmetric Macdonald polynomials at 𝑡=∞ and Demazure submodules of level-zero extremal weight modulesDemazure slices of type \(A_{2l}^{(2)}\)



Cites Work