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math.RT2013
Isomorphic induced modules and Dynkin diagram automorphisms of semisimple Lie algebras
Jérémie Guilhot, Cédric Lecouvey
Consider a simple Lie algebra and a Levi subalgebra. Two irreducible $\overline{% \mathfrak{g}}$-modules yield isomor…
math.RT2013
Ordering Families using Lusztig's symbols in type B: the integer case
Jeremie Guilhot, Nicolas Jacon
Let $\Irr(W)$ be the set of irreducible representations of a finite Weyl group . Following an idea from Spaltenstein, Geck has recently introduced a preorder on $\Irr(W…
math.RT2013
Cellularity of the lowest two-sided ideal of an affine Hecke algebra
Jeremie Guilhot
In this paper we show that the lowest two-sided ideal of an affine Hecke algebra is affine cellular for all choices of parameters. We explicitely describe the cellular basis and we…