22 citations · 116 across the 32 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★ 22 cited
Graded -Schur algebras
Susumu Ariki
Generalizing recent work of Brundan and Kleshchev, we introduce grading on Dipper-James' -Schur algebra, and prove a graded analogue of the Leclerc and Thibon's conjecture on th…