B. Leclerc

activity

19942024

most citedKac-Moody groups and cluster algebras

177 citations · 1.7k across the 51 of their papers we have counts for

collaborators

Showing 1997Show all

3 papers · 1 filter

q-alg1997★ 5 cited

Branching functions of $A_{n - 1}^{(1)}$ and Jantzen-Seitz problem for Ariki-Koike algebras

O. Foda, B. Leclerc, M. Okado +2

We study the restrictions of simple modules of Ariki-Koike algebras $\H_m(\v)$ with set of parameters $= ˇ (ζ; ζ^{v_{0}}, ..., ζ^{v_{l - 1}})$ , where $ζ$ is an $n$ th root of unity, to th…

q-alg1997★ 41 cited

q-Deformed Fock spaces and modular representations of spin symmetric groups

B. Leclerc, J. -Y. Thibon

We use the Fock space representation of the quantum affine algebra of type $A_{2 n}^{(2)}$ to obtain a description of the global crystal basis of its basic level 1 module. We formul…

q-alg1997★ 2 cited

RSOS models and Jantzen-Seitz representations of Hecke algebras at roots of unity

Omar Foda, Bernard Leclerc, Masato Okado +2

A special family of partitions occurs in two apparently unrelated contexts: the evaluation of 1-dimensional configuration sums of certain RSOS models, and the modular representatio…

Branching functions of An−1(1)​ and Jantzen-Seitz problem for Ariki-Koike algebras

q-Deformed Fock spaces and modular representations of spin symmetric groups

RSOS models and Jantzen-Seitz representations of Hecke algebras at roots of unity

Branching functions of $A_{n - 1}^{(1)}$ and Jantzen-Seitz problem for Ariki-Koike algebras