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Convexity in a masure II

arXiv.org, 2021-08

2021. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. ;EISSN: 2331-8422 ;DOI: 10.48550/arxiv.2101.05485

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  • Title:
    Convexity in a masure II
  • Author: Hebert, Auguste
  • Subjects: Apartments ; Convexity
  • Is Part Of: arXiv.org, 2021-08
  • Description: 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.
  • Publisher: Ithaca: Cornell University Library, arXiv.org
  • Language: English
  • Identifier: EISSN: 2331-8422
    DOI: 10.48550/arxiv.2101.05485
  • Source: Freely Accessible Journals
    ROAD: Directory of Open Access Scholarly Resources
    ProQuest Central
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