Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties
type: Item
instance of: scholarly article
title: Ribbon tableaux, Hall–Littlewood functions, quantum affine algebras, and unipotent varieties
zbMATH Open document ID: 0869.05068
DOI: 10.1063/1.531807
author: Alain Lascoux
author: Bernard Leclerc
author: Jean-Yves Thibon
published in: Journal of Mathematical Physics
publication date: 1997-08-31T00:00:00Z
full work available at URL: https://arxiv.org/abs/q-alg/9512031
Mathematics Subject Classification ID: 05E05
Mathematics Subject Classification ID: 05E10
Mathematics Subject Classification ID: 33D80
Mathematics Subject Classification ID: 17B37
zbMATH DE Number: 1014648
zbMATH Keywords: affine algebras
zbMATH Keywords: unipotent varieties
zbMATH Keywords: Young tableaux
zbMATH Keywords: rim-hook tableaux
zbMATH Keywords: symmetric functions
zbMATH Keywords: Schur functions
zbMATH Keywords: ribbon tableaux
zbMATH Keywords: Fock space representation
zbMATH Keywords: Hall-Littlewood functions
zbMATH Keywords: flag varieties
MaRDI profile type: Publication
OpenAlex ID: W2040741400
arXiv ID: q-alg/9512031
cites work: A Schensted algorithm for rim hook tableaux
cites work: Green polynomials and Hall-Littlewood functions at roots of unity
cites work: Hall–Littlewood polynomials at roots of 1 and modular representations of the symmetric group
cites work: The fixed point subvarieties of unipotent transformations on generalized flag varieties and the Green functions. Combinatorial and cohomological treatments centering \(GL_ n\).
cites work: A specialization theorem for certain Weyl group representations and an application to the Green polynomials of unitary groups
cites work: A theorem on the fixed point set of a unipotent transformation of the flag manifold
cites work: On the Kostka-Green-Foulkes polynomials and Clebsch-Gordan numbers
cites work: The Bethe Ansatz and the combinatorics of Young tableaux
cites work: Splitting the square of a Schur function into its symmetric and antisymmetric parts
cites work: Euler-Poincaré characteristic and polynomial representations of Iwahori-Hecke algebras
cites work: On Certain Symmetric Functions
cites work: Green polynomials and singularities of unipotent classes
cites work: Modular representations of symmetric groups
cites work: Crystal base for the basic representation of \(U_ q({\mathfrak sl}^\wedge (n))\)
cites work: Q-analogues of Clifford and Weyl algebras - spinor and oscillator representations of quantum enveloping algebras
cites work: Primitive ideals and orbital integrals in complex classical groups
cites work: Permutations, matrices, and generalized Young tableaux
description: scientific article; zbMATH DE number 1014648