On the Generic Degrees of Cyclotomic Algebras

@inproceedings{Malle2000OnTG,
  title={On the Generic Degrees of Cyclotomic Algebras},
  author={Gunter Malle},
  year={2000}
}
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 W 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 W , and in general enjoys many… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 10 references

Unipotente Grade imprimitiver komplexer Spiegelungsgruppen

  • G. Malle
  • J. Algebra 177
  • 1995
Highly Influential
5 Excerpts

Zyklotomische Heckealgebren

  • M. Broué, G. Malle
  • Astérisque 212
  • 1993
Highly Influential
8 Excerpts

A class of irreducible representations of a Weyl group

  • G. Lusztig
  • Indag. Mathem. 41 (1979), 323–335; II, ibid. 44
  • 1982
Highly Influential
8 Excerpts

Characters of finite Coxeter groups and Iwahori-Hecke algebras

  • M. Geck, G. Pfeiffer
  • Oxford University Press, Oxford
  • 2000

Weights of Markov traces and generic degrees

  • M. Geck, L. Iancu, G. Malle
  • Indag. Mathem.
  • 2000
2 Excerpts

Sur certains éléments réguliers des groupes de Weyl et les variétés de Deligne-Lusztig associées

  • M. Broué, J. Michel
  • Finite Reductive Groups: Related Structures and…
  • 1997
1 Excerpt

The representations and generic degrees of the Hecke algebra of type H4

  • D. Alvis, G. Lusztig
  • J. Reine Angew. Math. 336 (1982), 201–212…
  • 1994
3 Excerpts

On the degrees and rationality of certain characters of finite Chevalley groups

  • C. T. Benson, C. W. Curtis
  • Trans. Amer. Math. Soc. 165 (1972), 251–273…
  • 1975

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