KeywordsAriki-Koike algebras, Morita equivalences.
StatusMath. Z., to appear.
AbstractWe 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. |