Geodesic
A New Axiomatics for Masures
Canadian journal of mathematics, Tome 72 (2020) no. 3, pp. 732-773

Voir la notice de l'article provenant de la source Cambridge

DOI

Masures are generalizations of Bruhat–Tits buildings. They were introduced by Gaussent and Rousseau to study Kac–Moody groups over ultrametric fields that generalize reductive groups. Rousseau gave an axiomatic definition of these spaces. We propose an equivalent axiomatic definition, which is shorter, more practical, and closer to the axiom of Bruhat–Tits buildings. Our main tool to prove the equivalence of the axioms is the study of the convexity properties in masures.
DOI : 10.4153/S0008414X19000051
Mots-clés : Masures, Hovels, Kac-Moody groups, Bruhat-Tits buildings, local fields 
Hébert, Auguste. A New Axiomatics for Masures. Canadian journal of mathematics, Tome 72 (2020) no. 3, pp. 732-773. doi: 10.4153/S0008414X19000051
@article{10_4153_S0008414X19000051,
     author = {H\'ebert, Auguste},
     title = {A {New} {Axiomatics} for {Masures}},
     journal = {Canadian journal of mathematics},
     pages = {732--773},
     year = {2020},
     volume = {72},
     number = {3},
     doi = {10.4153/S0008414X19000051},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000051/}
}
TY  - JOUR
AU  - Hébert, Auguste
TI  - A New Axiomatics for Masures
JO  - Canadian journal of mathematics
PY  - 2020
SP  - 732
EP  - 773
VL  - 72
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000051/
DO  - 10.4153/S0008414X19000051
ID  - 10_4153_S0008414X19000051
ER  - 
%0 Journal Article
%A Hébert, Auguste
%T A New Axiomatics for Masures
%J Canadian journal of mathematics
%D 2020
%P 732-773
%V 72
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/S0008414X19000051/
%R 10.4153/S0008414X19000051
%F 10_4153_S0008414X19000051

Cité par Sources :