Knop F (2014)
Publication Language: English
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2014
Publisher: Association des Annales de l'Institute Fourier; 1999
Book Volume: 64
Pages Range: 2503-2526
Journal Issue: 6
URI: http://arxiv.org/abs/1303.2466
DOI: 10.5802/aif.2919
Brion proved that the valuation cone of a complex spherical variety is a fundamental domain for a finite reflection group, called the little Weyl group. The principal goal of this paper is to generalize this theorem to fields of characteristic unequal to 2. We also prove a weaker version which holds in characteristic 2, as well. Our main tool is a generalization of Akhiezer's classification of spherical varieties of rank 1.
APA:
Knop, F. (2014). Spherical roots of spherical varieties. Annales de l'Institut Fourier, 64(6), 2503-2526. https://doi.org/10.5802/aif.2919
MLA:
Knop, Friedrich. "Spherical roots of spherical varieties." Annales de l'Institut Fourier 64.6 (2014): 2503-2526.
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