Receding polar regions of a spherical building and the center conjecture

Bernhard Mühlherr[1]; Richard M. Weiss[2]

  • [1] University of Giessen Institute for Mathematics Arndtstrasse 2 35392 Giessen (Germany)
  • [2] Tufts University Department of Mathematics 503 Boston Avenue Medford, MA 02155 (USA)

Annales de l’institut Fourier (2013)

  • Volume: 63, Issue: 2, page 479-513
  • ISSN: 0373-0956

Abstract

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We introduce the notion of a polar region of a spherical building and use some simple observations about polar regions to give elementary proofs of various fundamental properties of root groups. We combine some of these observations with results of Timmesfeld, Balser and Lytchak to give a new proof of the center conjecture for convex chamber subcomplexes of thick spherical buildings.

How to cite

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Mühlherr, Bernhard, and Weiss, Richard M.. "Receding polar regions of a spherical building and the center conjecture." Annales de l’institut Fourier 63.2 (2013): 479-513. <http://eudml.org/doc/275482>.

@article{Mühlherr2013,
abstract = {We introduce the notion of a polar region of a spherical building and use some simple observations about polar regions to give elementary proofs of various fundamental properties of root groups. We combine some of these observations with results of Timmesfeld, Balser and Lytchak to give a new proof of the center conjecture for convex chamber subcomplexes of thick spherical buildings.},
affiliation = {University of Giessen Institute for Mathematics Arndtstrasse 2 35392 Giessen (Germany); Tufts University Department of Mathematics 503 Boston Avenue Medford, MA 02155 (USA)},
author = {Mühlherr, Bernhard, Weiss, Richard M.},
journal = {Annales de l’institut Fourier},
keywords = {Spherical building; root group; the center conjecture; spherical buildings; root groups; Tits center conjecture},
language = {eng},
number = {2},
pages = {479-513},
publisher = {Association des Annales de l’institut Fourier},
title = {Receding polar regions of a spherical building and the center conjecture},
url = {http://eudml.org/doc/275482},
volume = {63},
year = {2013},
}

TY - JOUR
AU - Mühlherr, Bernhard
AU - Weiss, Richard M.
TI - Receding polar regions of a spherical building and the center conjecture
JO - Annales de l’institut Fourier
PY - 2013
PB - Association des Annales de l’institut Fourier
VL - 63
IS - 2
SP - 479
EP - 513
AB - We introduce the notion of a polar region of a spherical building and use some simple observations about polar regions to give elementary proofs of various fundamental properties of root groups. We combine some of these observations with results of Timmesfeld, Balser and Lytchak to give a new proof of the center conjecture for convex chamber subcomplexes of thick spherical buildings.
LA - eng
KW - Spherical building; root group; the center conjecture; spherical buildings; root groups; Tits center conjecture
UR - http://eudml.org/doc/275482
ER -

References

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