On the induction of Kazhdan-Lusztig cells

Meinolf Josef Geck

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33 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)608-614
Number of pages6
JournalBulletin of the London Mathematical Society
Volume35
Issue number5
DOIs
Publication statusPublished - 2003

Keywords

  • WEYL GROUPS

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