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Pré-Publication, Document De Travail Année : 2018

Weakness of the topological twin building of a masure for the cone topology

Résumé

Masures are generalizations of Bruhat-Tits buildings introduced by Gaussent and Rousseau in order to study Kac-Moody groups over valued fields. A masure admits a building at infinity Ch(∂∆), which is a twin building. Ciobotaru, Mühlherr and Rousseau equipped Ch(∂∆) with a topology called the cone topology. They proved that this equips Ch(∂∆) with a structure of weak topological twin building in the definition of Hartnick, Köhl and Mars. In this note, we prove however that unless G is reductive, Ch(∂∆) is not a topological twin building.
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Dates et versions

hal-01796718 , version 1 (21-05-2018)

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  • HAL Id : hal-01796718 , version 1

Citer

Auguste Hébert. Weakness of the topological twin building of a masure for the cone topology. 2018. ⟨hal-01796718⟩

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