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20032008
most citedModular representations of reductive groups and geometry of affine Grassmannians

11 citations

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math.RT2008★ 11 cited

Modular representations of reductive groups and geometry of affine Grassmannians

Daniel Juteau

By the geometric Satake isomorphism of Mirkovic and Vilonen, decomposition numbers for reductive groups can be interpreted as decomposition numbers for equivariant perverse sheaves…

math.RT2005

JMMO Fock space and Geck-Rouquier classification of simple modules for Hecke algebras

Nicolas Jacon

This paper is a survey on the representation theory of Hecke algebras, Ariki-Koike algebras and connections with quantum group.

math.RT2005★ 2 cited

Canonical basic sets for Hecke algebras

Nicolas Jacon

We give an explicit description of the "canonical basic set'' for all Iwahori-Hecke algebras of finite Weyl groups in "good'' characteristic. We obtain a complete classification of…

math.RT2004

Modular representations of cyclotomic Hecke algebras of type G(r,p,n)

Gwenaelle Genet, Nicolas Jacon

We give a classification of the simple modules for the cyclotomic Hecke algebras over in the modular case. We use the unitriangular shape of the decomposition matrices…

math.RT2004

An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras

Nicolas Jacon

We give a purely combinatorial algorithm for the computation of the decomposition matrices for Ariki-Koike algebras when the parameters are powers of the same root of unity. It gen…

math.RT2004★ 1 cited

A duality between -multiplicities in tensor products and -multiplicities of weights for the root systems or

Cedric Lecouvey

Starting from Jacobi-Trudi's type determinental expressions for the Schur functions corresponding to types and we define a natural -analogue of the multiplicity $[V(λ…