2011/05/30 by Maria Chlouveraki, Nicolas Jacon
Mathematics · #math.RT
paper · pdf · doi:10.1007/s10801-011-0314-4
published as Journal of Algebraic Combinatorics 35, 2 (2012) 291-311 · The paper contains the results of arXiv:1101.1465
arxiv created 2011/05/30 · arxiv updated 2012/01/23
We study the Schur elements associated to the simple modules of the Ariki-Koike algebra. We first give a cancellation-free formula for them so that their factors can be easily read and programmed. We then study direct applications of this result. We also complete the determination of the canonical basic sets for cyclotomic Hecke algebras of type G(l,p,n) in characteristic 0.