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Receding polar regions of a spherical building and the center conjecture

Bernhard MühlherrRichard M. Weiss — 2013

Annales de l’institut Fourier

We introduce the notion of a polar region of a spherical building and use some simple observations about polar regions to give elementary proofs of various fundamental properties of root groups. We combine some of these observations with results of Timmesfeld, Balser and Lytchak to give a new proof of the center conjecture for convex chamber subcomplexes of thick spherical buildings.

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