37 citations · 96 across the 39 of their papers we have counts for
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Constructible representations and basic sets in type B
Nicolas Jacon
We study the parametrizations of simple modules provided by the theory of basic sets for all finite Weyl groups. In the case of type B, we show the existence of basic sets for the…
Schur elements and basic sets for cyclotomic Hecke algebras
Maria Chlouveraki, Nicolas Jacon
We study the Schur elements and the a-function for cyclotomic Hecke algebras. As a consequence, we show the existence of canonical basic sets, as defined by Geck-Rouquier, for cert…
Factorization of the canonical bases for higher level Fock spaces
Susumu Ariki, Nicolas Jacon, Cédric Lecouvey
The level l Fock space admits canonical bases G_e and G_\infty. They correspond to U_{v}(hat{sl}_{e}) and U_{v}(sl_{\infty})-module structures. We establish that the transition mat…
Kashiwara and Zelevinsky involutions in affine type A
Nicolas Jacon, Cédric Lecouvey
We first describe how the Kashiwara involution on crystals of affine type is encoded by the combinatorics of aperiodic multisegments. This yields a simple relation between this…