Matrix units and generic degrees for the Ariki--Koike algebras

2001/08/23 by Andrew Mathas, Mathas, Andrew · 1 citation
Mathematics · #20C08 #20G05 #33D80 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:20C08 #msc:20G05 #msc:33D80

paper · pdf · doi:10.48550/arxiv.math/0108164

Fixes some stupid mistakes in the previous version. 31 pages. LaTeX2e. Uses youngtab.sty

arxiv created 2001/11/29 · arxiv updated 2009/11/30

Abstract

We compute the generic degrees of the Ariki--Koike algebras by first constructing a basis of matrix units in the semisimple case. As a consequence, we also obtain an explicit isomorphism from any semisimple Ariki--Koike algebra to the group algebra of the corresponding complex reflection group.

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