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Article Dans Une Revue Canadian Journal of Mathematics Année : 2019

A new axiomatics for masures

Résumé

Masures are generalizations of Bruhat-Tits buildings. They were introduced to study Kac-Moody groups over ultrametric fields, which generalize reductive groups over the same fields. If A and A are two apartments in a building, their intersection is convex (as a subset of the finite dimensional affine space A) and there exists an isomorphism from A to A fixing this intersection. We study this question for masures and prove that the analogous statement is true in some particular cases. We deduce a new axiomatic of masures, simpler than the one given by Rousseau.
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Dates et versions

hal-01623600 , version 1 (25-10-2017)
hal-01623600 , version 2 (29-11-2017)
hal-01623600 , version 3 (11-09-2023)

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Citer

Auguste Hébert. A new axiomatics for masures. Canadian Journal of Mathematics, In press, ⟨10.4153/S0008414X19000051⟩. ⟨hal-01623600v3⟩
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