Affine $\Lambda$-Buildings II.

Authors: Curtis D. Bennett
Subjects: Group Theory
link: http://arxiv.org/abs/0909.2059
Abstract

The purpose of this paper is to provide an easier set of axioms for Affine
$\Lambda$-Buildings by extending results of Anne Parreau on the equivalence of
axioms for Euclidean buildings. In particular we give an easier set of axioms
for an affine $\Lambda$-building, utilizing a notion of a strong exchange
condition on apartments and sectors having a sector panel lying in an
apartment.