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19992025
most citedExistence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations

265 citations

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18 papers · 1 filter

math.RT2017★ 4 cited

Alvis-Curtis Duality for Finite General Linear Groups and a Generalized Mullineux Involution

Olivier Dudas, Nicolas Jacon

We study the effect of Alvis-Curtis duality on the unipotent representations of in non-defining characteristic . We show that the permutation induced on th…

math.RT2016★ 1 cited

Clifford theory for Yokonuma--Hecke algebras and deformation of complex reflection groups

N. Jacon, L. Poulain d'Andecy

We define and study an action of the symmetric group on the Yokonuma--Hecke algebra. This leads to the definition of two classes of algebras. The first one is connected with the im…

math.RT2013

On the regularization process for Ariki-Koike algebras

Nicolas Jacon

The aim of this note is to study a generalization of theorems by James and Fayers on the modular representations of the symmetric group and its Hecke algebra to the case of the com…

math.RT2012★ 12 cited

A combinatorial decomposition of higher level Fock spaces

Nicolas Jacon, Cédric Lecouvey

We give a simple characterization of the highest weight vertices in the crystal graph of the level l Fock spaces. This characterization is based on the notion of totally periodic s…

math.RT2010★ 2 cited

The modular branching rule for affine Hecke algebras of type A

Susumu Ariki, Nicolas Jacon, Cédric Lecouvey

For the affine Hecke algebra of type A at roots of unity, we make explicit the correspondence between geometrically constructed simple modules and combinatorially constructed simpl…

math.RT2010★ 37 cited

Computational proof of the Mackey formula for q > 2

Cédric Bonnafé, Jean Michel

Let G be a connected reductive group defined over a finite field with q elements. We prove that the Mackey formula for the Lusztig induction and restriction holds in G whenever q>2…