Constructions of cocompact lattices for certain higher-rank complete Kac-Moody groups

Inna Capdeboscq and Anne Thomas

Abstract

Let $$G$$ be a complete Kac-Moody group of rank n at least 2 such that the Weyl group of $$G$$ is a free product of cyclic groups of order 2. We construct new families of examples of cocompact lattices in $$G$$, many of which act transitively on the chambers of the building for $$G$$.

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 Thursday, April 5, 2012