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

TL;DR

This paper completes the proof of the existence of affine buildings associated with exceptional algebraic groups over valued fields, confirming a conjecture by Jacques Tits and extending previous classical group results.

Contribution

It provides the final cases needed to establish the existence of affine buildings for all exceptional algebraic reductive groups over valued fields.

Findings

Confirmed the existence of affine buildings for all exceptional groups

Extended Tits' conjecture to new classes of algebraic groups

Unified classical and exceptional cases in affine building theory

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.