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ON THE INDUCTION OF KAZHDAN–LUSZTIG CELLS

Published online by Cambridge University Press:  13 August 2003

MEINOLF GECK
MEINOLF GECK
Affiliation:
Institut Girard Desargues, bat. Jean Braconnier, Université Lyon 1, 21 av Claude Bernard, F–69622 Villeurbanne Cedex, [email protected]
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Abstract

Barbasch and Vogan showed that the Kazhdan–Lusztig cells of a finite Weyl group are compatible with parabolic subgroups. Their proof uses the known bridge between the theory of cells and the theory of primitive ideals. In this paper, an elementary, self-contained proof of this result is provided, which works for arbitrary Coxeter groups and Lusztig's general definition of cells (involving Iwahori–Hecke algebras with unequal parameters). The argument is based on a recent paper by Howlett and Yin.

Keywords

20C08
Type
Notes and Papers
Information
Bulletin of the London Mathematical Society , Volume 35 , Issue 5 , September 2003 , pp. 608 - 614
Copyright
© The London Mathematical Society 2003

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