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

Andrew Mathas
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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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Andrew Mathas. 2001-11-29. Matrix units and generic degrees for the Ariki--Koike algebras. https://arxiv.org/abs/math/0108164

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