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2013 On topological split Kac-Moody groups and their twin buildings
Tobias Hartnick, Ralf Köhl, Andreas Mars
Innov. Incidence Geom. 13(none): 1-71 (2013). DOI: 10.2140/iig.2013.13.1

Abstract

We prove that a two-spherical split Kac–Moody group over a local field naturally provides a topological twin building in the sense of Kramer. This existence result and the local-to-global principle for twin building topologies combined with the theory of Moufang foundations as introduced and studied by Mühlherr, Ronan, and Tits allows one to immediately obtain a classification of two-spherical split Moufang topological twin buildings whose underlying Coxeter diagram contains no loop and no isolated vertices. we obtain a similar classification for split Moufang topological twin buildings.

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Tobias Hartnick. Ralf Köhl. Andreas Mars. "On topological split Kac-Moody groups and their twin buildings." Innov. Incidence Geom. 13 1 - 71, 2013. https://doi.org/10.2140/iig.2013.13.1

Information

Received: 24 January 2011; Accepted: 3 October 2013; Published: 2013
First available in Project Euclid: 28 February 2019

zbMATH: 1295.51017
MathSciNet: MR3173010
Digital Object Identifier: 10.2140/iig.2013.13.1

Rights: Copyright © 2013 Mathematical Sciences Publishers

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