21 citations · 102 across the 49 of their papers we have counts for
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math.RT2009★ 3 cited
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…
math.RT2009★ 8 cited
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…