A new axiomatics for masures II

DOI10.1515/ADVGEOM-2022-0013arXiv2101.05485MaRDI QIDQ6358263

Publication date: 14 January 2021

Abstract: Masures are generalizations of Bruhat-Tits buildings. They were introduced by Gaussent and Rousseau in order to study Kac-Moody groups over valued fields. We prove that the intersection of two apartments of a masure is convex. Using this, we simplify the axiomatic definition of masures given by Rousseau.

Mathematics Subject Classification ID

Groups with a (BN)-pair; buildings (20E42)

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