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

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.

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

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