@article{9405a2abab3545b9b7cdc02a81a6e1a0,
title = "Birkhoff's theorem and convex hulls of Coxeter groups",
abstract = "We formulate and partially prove a general conjecture regarding the facial structure of convex hulls of finite irreducible Coxeter groups.",
keywords = "Birkhoff's theorem, Convex hull, Coxeter groups, Extreme vectors",
author = "Nicholas McCarthy and David Ogilvie and Ilya Spitkovsky and Nahum Zobin",
note = "Funding Information: This research was mostly conducted during the summer of 1999 at the College of William and Mary{\textquoteright}s Research Experiences for Undergraduates Program and was supported by NSF REU grant DMS-96-19577. I. Spitkovsky is also partially supported by NSF Grant DMS-98-00704. N. Zobin is also partially supported by a Summer Research Grant at the College of William and Mary. ∗ Corresponding author. Tel.: +1-757-221-2024. E-mail addresses:
[email protected] (N. McCarthy),
[email protected] (D. Og-ilvie),
[email protected] (I. Spitkovsky),
[email protected] (N. Zobin).",
year = "2002",
month = may,
day = "15",
doi = "10.1016/S0024-3795(01)00556-0",
language = "English (US)",
volume = "347",
pages = "219--231",
journal = "Linear Algebra and Its Applications",
issn = "0024-3795",
publisher = "Elsevier Inc.",
number = "1-3",
}