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Symmetric cyclotomic Hecke algebras
Symmetric cyclotomic Hecke algebras
Gunter Malle and Andrew Mathas
Keywords
Cyclotomic Hecke algebras, complex reflection groups,
symmetric algebras.
Status
J. Algebra, 205(1998), 275-293.
MR99g:20026
Abstract
In this paper we prove that the generic cyclotomic Hecke algebras for
imprimitive complex reflection groups are symmetric over any ring containing
inverses of the parameters. For this we show that
the determinant of the Gram matrix of a certain canonical symmetrizing form
introduced in [BM] is a unit in any such ring. On the way we show
that the Ariki-Koike bases of these algebras are also quasi-symmetric.
The paper is available as gzipped
dvi (30 kB) and
postscript (128 kB) files.
Alternatively, you can request a copy by
e-mailing me.
Andrew Mathas
5th October 1997.