Degree and valuation of the Schur elements of cyclotomic Hecke algebras

Maria Chlouveraki

Research output: Contribution to journalArticlepeer-review

Abstract

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. (C) 2008 Elsevier Inc. All rights reserved.

Original languageEnglish
Pages (from-to)3935-3949
Number of pages15
JournalJournal of Algebra
Volume320
Issue number11
DOIs
Publication statusPublished - 1 Dec 2008

Keywords

  • a-function
  • Families of characters
  • Rouquier blocks
  • Cyclotomic Hecke algebras
  • Exceptional complex reflection groups
  • GENERIC DEGREES
  • IRREDUCIBLE CHARACTERS
  • REPRESENTATIONS
  • FAMILIES
  • BLOCKS

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