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Distances on a masure (affine ordered ho...

Hébert, Auguste...

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Distances on a masure (affine ordered hovel) by Hébert, Auguste ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	09-08-2023
Summary	A masure (a.k.a affine ordered hovel) I is a generalization of the Bruhat-Tits building that is associated to a split Kac-Moody group G over a non-archimedean local field. This is a union of affine spaces called apartments. When G is a reductive group, I is a building and there is a G-invariant distance inducing a norm on each apartment. In this paper, we study distances on I inducing the affine topology on each apartment. We show that some properties (completeness, local compactness, ...) cannot be satisfyed when G is not reductive. Nevertheless, we construct distances such that each element of G is a continuous automorphism of I.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1611.06105

Citation

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AMA 11th EditionReferences

Hébert, Auguste. Distances on a masure (affine ordered hovel). Australian National University. August 09, 2023. Accessed October 03, 2025. https://online.provdatabase.com/cite/14265

APA 7th EditionReferences

Hébert, Auguste. (2023). Distances on a masure (affine ordered hovel). Australian National University. https://online.provdatabase.com/cite/14265

Chicago 17th EditionReferences

Hébert, Auguste. Distances on a masure (affine ordered hovel). Australian National University. 2023. https://online.provdatabase.com/cite/14265

HarvardReferences

Hébert, Auguste. (2023). Distances on a masure (affine ordered hovel). [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/14265. (Accessed 03 October 2025).

Harvard AustraliaReferences

Hébert, Auguste, 2023, Distances on a masure (affine ordered hovel), Australian National University, viewed 03 October 2025, <https://online.provdatabase.com/cite/14265>

MLA 9th EditionWorks Cited

Hébert, Auguste. Distances on a masure (affine ordered hovel). Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/14265.

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