Friedrich Knop
Published 2013-03-11, updated 2014-03-09Version 3
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 fundamental 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 rank-1-varieties.
Comments: v1; 19 pages; v2: 19 pages, reformatted to LaTeX, slightly expanded, a couple of minor errors corrected; v3: 19 pages, minor modifications, final version
On the little Weyl group of a real spherical space
The dual group of a spherical variety
Fundamental domains of cluster categories inside module categories
![QR code for arXiv:1303.2466 [math.RT]](http://oss.arxitics.com/images/favicon.svg)