Morita equivalences of Ariki-Koike algebras

Richard Dipper and Andrew Mathas

Keywords

Ariki-Koike algebras, Morita equivalences.

Status

Math. Z., to appear.

Abstract

We prove that every Ariki-Koike algebra is Morita equivalent to a direct sum of tensor products of smaller Ariki-Koike algebras which have q-connected parameter sets. A similar result is proved for the cyclotomic q-Schur algebras. Combining our results with work of Ariki and Uglov, the decomposition numbers for the Ariki-Koike algebras defined over fields of characteristic zero are now known in principle.


The paper is available as gzipped dvi (58 kB) and postscript (344 kB) files.

Alternatively, you can request a copy by e-mailing me.

Andrew Mathas
17th July 2001
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