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

Klaus M Lux, Amanda Schaeffer Fry, C. Ryan Vinroot

Research output: Contribution to journalArticle

2 Citations (Scopus)

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 2012

Fingerprint

Normalizer
Parabolic Subgroup
Coxeter Group
Frobenius
Finite Group
Character

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Strong Reality Properties of Normalizers of Parabolic Subgroups in Finite Coxeter Groups. / Lux, Klaus M; Fry, Amanda Schaeffer; Vinroot, C. Ryan.

In: Communications in Algebra, Vol. 40, No. 8, 08.2012, p. 3056-3070.

Research output: Contribution to journalArticle

Lux, Klaus M ; Fry, Amanda Schaeffer ; Vinroot, C. Ryan. / Strong Reality Properties of Normalizers of Parabolic Subgroups in Finite Coxeter Groups. In: Communications in Algebra. 2012 ; Vol. 40, No. 8. pp. 3056-3070.
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