Schur elements for the Ariki-Koike algebra and applications

Details Schur elements for the Ariki-Koike algebra and applications Schur elements for the Ariki-Koike algebra and applications

2011-05-30

arxiv.org/abs/1105.5910v1

Journal of Algebraic Combinatorics 35, 2 (2012) 291-311

Mathematics

Representation Theory

The paper contains the results of arXiv:1101.1465

Scientific paper

10.1007/s10801-011-0314-4

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.

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