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research article
Degree and valuation of the Schur elements of cyclotomic Hecke algebras
2008
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.
Type
research article
Web of Science ID
WOS:000261111300006
Authors
Publication date
2008
Publisher
Published in
Volume
320
Start page
3935
End page
3949
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 30, 2010
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