Descent of affine buildings - I. Large minimal angles
Metric Geometry
2012-10-24 v2 Combinatorics
Abstract
In this two-part paper we prove an existence result for affine buildings arising from exceptional algebraic reductive groups. Combined with earlier results on classical groups, this gives a complete and positive answer to the conjecture concerning the existence of affine buildings arising from such groups defined over a (skew) field with a complete valuation, as proposed by Jacques Tits. This first part lays the foundations for our approach and deals with the `large minimal angle' case.
Keywords
Cite
@article{arxiv.1201.4245,
title = {Descent of affine buildings - I. Large minimal angles},
author = {Bernhard Mühlherr and Koen Struyve and Hendrik Van Maldeghem},
journal= {arXiv preprint arXiv:1201.4245},
year = {2012}
}
Comments
31 pages, revised version