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On the generic degrees of cyclotomic algebras
Author(s):
Gunter
Malle
Journal:
Represent. Theory
4
(2000),
342-369.
MSC (2000):
Primary 20C08, 20C40
Posted:
August 1, 2000
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Abstract:
We determine the generic degrees of cyclotomic Hecke algebras attached to exceptional finite complex reflection groups. The results are used to introduce the notion of spetsial reflection group, which in a certain sense is a generalization of the finite Weyl group. In particular, to spetsial  there is attached a set of unipotent degrees which in the case of a Weyl group is just the set of degrees of unipotent characters of finite reductive groups with Weyl group  , and in general enjoys many of their combinatorial properties.
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Additional Information:
Gunter
Malle
Affiliation:
FB Mathematik/Informatik, Universität
Kassel, Heinrich-Plett-Str. 40, D--34132
Kassel, Germany
Email:
malle@mathematik.uni-kassel.de
DOI:
10.1090/S1088-4165-00-00088-1
PII:
S 1088-4165(00)00088-1
Received by editor(s):
October 28, 1999
Received by editor(s) in revised form:
June 19, 2000
Posted:
August 1, 2000
Additional Notes:
I'm grateful to J. Michel for spotting some inaccuracies
in an earlier version of this paper.
I thank the Science University of Tokyo for its
hospitality and the Deutsche Forschungsgemeinschaft
for financial support
Copyright of article:
Copyright
2000,
American Mathematical Society
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