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

    Fingerprint

    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, N, Ogilvie, D, Spitkovsky, I & Zobin, N 2002, 'Birkhoff's theorem and convex hulls of Coxeter groups', Linear Algebra and Its Applications, vol. 347, no. 1-3, pp. 219-231. https://doi.org/10.1016/S0024-3795(01)00556-0
    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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