Matrix units and generic degrees for the Ariki--Koike algebras
Representation Theory
2007-05-23 v2 Quantum Algebra
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.
Cite
@article{arxiv.math/0108164,
title = {Matrix units and generic degrees for the Ariki--Koike algebras},
author = {Andrew Mathas},
journal= {arXiv preprint arXiv:math/0108164},
year = {2007}
}
Comments
Fixes some stupid mistakes in the previous version. 31 pages. LaTeX2e. Uses youngtab.sty