Descent of affine buildings - II. Minimal angle π/3 and exceptional quadrangles

2012/01/20 by Koen Struyve, Struyve, Koen · 1 citation
Mathematics · #51E24 20E42 20E25 #Combinatorics (math.CO) #FOS: Mathematics #Metric Geometry (math.MG) #math.CO #math.MG #msc:20E25 #msc:20E42 #msc:51E24

paper · pdf · doi:10.48550/arxiv.1201.4248

20 pages, revised version

arxiv created 2012/10/23 · arxiv updated 2012/10/24

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 second part builds upon the results of the first part and deals with the remaining cases.

Cited by

• Arithmétique des sous-groupes de Bruhat-Tits sur un anneau de valuation discrète hensélien

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