Morita equivalences of Ariki-Koike algebras
Representation Theory
2007-05-23 v1 Combinatorics
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.
Keywords
Cite
@article{arxiv.math/0004014,
title = {Morita equivalences of Ariki-Koike algebras},
author = {Richard Dipper and Andrew Mathas},
journal= {arXiv preprint arXiv:math/0004014},
year = {2007}
}
Comments
LaTeX 2e file. 30 pages. Submitted for publication