Affine Λ-Buildings II

2009/09/10 by Curtis D. Bennett, Bennett, Curtis D.
Mathematics · #20E42 #51E24 #Advanced Banach Space Theory #FOS: Mathematics #Group Theory (math.GR) #Rings, Modules, and Algebras

paper · doi:10.48550/arxiv.0909.2059

openalex publication_date 2009/09/10 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28

Abstract

The purpose of this paper is to provide an easier set of axioms for Affine Λ-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 Λ-building, utilizing a notion of a strong exchange condition on apartments and sectors having a sector panel lying in an apartment.

Related

• Axioms of affine buildings
• Generalized affine buildings
• On axiomatic definitions of non-discrete affine buildings
• Uniform modular lattices and affine buildings
• Affine Λ-buildings, ultrapowers of Lie groups and Riemannian symmetric spaces: an algebraic proof of the Margulis conjecture