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research article

Degree and valuation of the Schur elements of cyclotomic Hecke algebras

Chlouveraki, Maria  
2008
Journal Of Algebra

Following the generalization of the notion of families of characters, defined by Lusztig for Weyl groups, to the case of complex reflection groups, thanks to the definition given by Rouquier, we show that the degree and the valuation of the Schur elements (functions A and a) remain constant on the "families" of the cyclotomic Hecke algebras of the exceptional complex reflection groups. The same result has already been obtained for the groups of the infinite series and for some special cases of exceptional groups.

  • Details
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Type
research article
DOI
10.1016/j.jalgebra.2008.07.024
Web of Science ID

WOS:000261111300006

Author(s)
Chlouveraki, Maria  
Date Issued

2008

Publisher

Elsevier

Published in
Journal Of Algebra
Volume

320

Start page

3935

End page

3949

Subjects

a-function

•

Families of characters

•

Rouquier blocks

•

Cyclotomic Hecke algebras

•

Exceptional complex reflection groups

•

Generic Degrees

•

Irreducible Characters

•

Representations

•

Families

•

Blocks

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CTG  
Available on Infoscience
November 30, 2010
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/60824
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