Birkhoff's theorem and convex hulls of Coxeter groups

Nicholas McCarthy, David Ogilvie, Ilya Spitkovsky, Nahum Zobin

Research output: Contribution to journalArticle

Abstract

We formulate and partially prove a general conjecture regarding the facial structure of convex hulls of finite irreducible Coxeter groups.

Original languageEnglish (US)
Pages (from-to)219-231
Number of pages13
JournalLinear Algebra and Its Applications
Volume347
Issue number1-3
DOIs
StatePublished - May 15 2002

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Coxeter Group
Convex Hull
Theorem

Keywords

  • Birkhoff's theorem
  • Convex hull
  • Coxeter groups
  • Extreme vectors

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

Cite this

Birkhoff's theorem and convex hulls of Coxeter groups. / McCarthy, Nicholas; Ogilvie, David; Spitkovsky, Ilya; Zobin, Nahum.

In: Linear Algebra and Its Applications, Vol. 347, No. 1-3, 15.05.2002, p. 219-231.

Research output: Contribution to journalArticle

McCarthy, Nicholas ; Ogilvie, David ; Spitkovsky, Ilya ; Zobin, Nahum. / Birkhoff's theorem and convex hulls of Coxeter groups. In: Linear Algebra and Its Applications. 2002 ; Vol. 347, No. 1-3. pp. 219-231.
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