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Topological groups of Kac-Moody type, Fuchsian twinnings and their lattices

Bertrand Remy·Mark Ronan
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Abstract

This paper deals with a class of totally disconnected groups acting on buildings, among which are certain Kac-Moody groups. The apartments of our buildings are hyperbolic planes tiled by right-angled polygons. We discuss linearity properties for the groups, as well as an analogy with semisimple groups over local fields of positive characteristic. Looking for counter-examples to this analogy leads to the construction of Moufang twinnings "with several ground fields".

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Bertrand Remy, Mark Ronan. 2002-05-04. Topological groups of Kac-Moody type, Fuchsian twinnings and their lattices. https://arxiv.org/abs/math/0205038

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