A new axiomatics for masures II
Group Theory
2023-09-13 v3 Representation Theory
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.
Keywords
Cite
@article{arxiv.2101.05485,
title = {A new axiomatics for masures II},
author = {Auguste Hebert},
journal= {arXiv preprint arXiv:2101.05485},
year = {2023}
}
Comments
This paper was initially called "Convexity in a masure II". Nothing has changed in this new version except the title