Strong Reality Properties of Normalizers of Parabolic Subgroups in Finite Coxeter Groups

Klaus Lux, Amanda Schaeffer Fry, C. Ryan Vinroot

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

Let W be a finite Coxeter group, P a parabolic subgroup of W, and N W(P) the normalizer of P in W. We prove that every element in N W(P) is strongly real in N W(P), and that every irreducible complex character of N W(P) has Frobenius-Schur indicator 1.

Original languageEnglish (US)
Pages (from-to)3056-3070
Number of pages15
JournalCommunications in Algebra
Volume40
Issue number8
DOIs
StatePublished - Aug 1 2012

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Keywords

  • Finite Coxeter group
  • Frobenius-Schur indicator
  • Normalizers of parabolic subgroups
  • Strong reality

ASJC Scopus subject areas

  • Algebra and Number Theory

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