Affine $Λ$-Buildings II

Details Affine $Λ$-Buildings II Affine $Λ$-Buildings II

2009-09-10

arxiv.org/abs/0909.2059v1

Mathematics

Group Theory

10 pages

Scientific paper

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.

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