An algorithm for the computation of the decomposition matrices for Ariki-Koike algebras

2004/09/16 by Nicolas Jacon, Jacon, Nicolas
Mathematics · #16D60 #20C08 #20G42 #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:16D60 #msc:20C08 #msc:20G42

paper · pdf · doi:10.48550/arxiv.math/0409271

arxiv created 2004/09/16 · arxiv updated 2009/12/01

Abstract

We give a purely combinatorial algorithm for the computation of the decomposition matrices for Ariki-Koike algebras when the parameters are powers of the same root of unity. It generalizes the LLT algorithm.

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