We show that the Littlewood-Richardson coefficients are values at 1 of certain parabolic
Kazhdan-Lusztig polynomials for affine symmetric groups. These q-analogues of Littlewood …

In this paper we give a realization of crystal bases for quantum affine algebras using some
new combinatorial objects which we call the Young walls. The Young walls consist of …

The Ariki-Koike algebras first appeared in the work of Cherednik [30] who discovered these
algebras in his study of the q-analogue of Drinfeld's duality between the degenerate affine …

This paper shows that certain decomposition numbers for the Iwahori–Hecke algebras of the
symmetric groups and the q-Schur algebras at different roots of unity in characteristic zero …

Let F denote the Fock space representation of the quantum group Uv (slˆe). The 'v-
decomposition numbers' are the coefficients when the canonical basis for this representation …

The cyclotomic Hecke algebras of type A are a much studied class of algebras that include,
as special cases, the group algebras of the symmetric groups and the Iwahori-Hecke …

A Family of Graded Decomposition Numbers for Diagrammatic Cherednik Algebras Page 1 C.
Bowman et al. (2017) “A Family of Graded Decomposition Numbers for Diagrammatic Cherednik …

The purpose of these lectures is to introduce the audience to the theory of cyclotomic Hecke
algebras of type G (m, 1, n). These algebras were introduced by the author and Koike, Broué …

SYMMETRIC FUNCTIONS AND THE FOCK SPACE BERNARD LECLERC (leclerc~math.
unicaen. fr) Universite de Caen Dedicated to Denis Uglov ( Page 1 SYMMETRIC …

We consider simple modules for a Hecke algebra with a parameter of quantum characteristic
e. Equivalently, we consider simple modules D λ, labelled by e-restricted partitions λ of n, for …