On the simple connectedness of certain subsets of buildings

Alice Devillers; B. Mühlherr

doi:10.1515/FORUM.2007.037

On the simple connectedness of certain subsets of buildings

Alice Devillers, B. Mühlherr

Research output: Contribution to journal › Article › peer-review

15 Citations (Scopus)

Abstract

We prove a rank 3 criterion for the simple connectedness of certain subsets of buildings and we give two applications of this criterion. The first generalizes a result of Tits for Chevalley groups to 3-spherical Kac-Moody groups. The second is the proof of the simple connectedness of certain flipflop geometries introduced in [BGHS].

Original language	English
Pages (from-to)	955-970
Journal	Forum Mathematicum
Volume	19
Issue number	6
DOIs	https://doi.org/10.1515/FORUM.2007.037
Publication status	Published - 2007

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10.1515/FORUM.2007.037

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AB - We prove a rank 3 criterion for the simple connectedness of certain subsets of buildings and we give two applications of this criterion. The first generalizes a result of Tits for Chevalley groups to 3-spherical Kac-Moody groups. The second is the proof of the simple connectedness of certain flipflop geometries introduced in [BGHS].

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On the simple connectedness of certain subsets of buildings

Abstract

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