Kac-Moody groups as discrete groups

Details Kac-Moody groups as discrete groups Kac-Moody groups as discrete groups

2004-02-18

arxiv.org/abs/math/0402300v1

Mathematics

Group Theory

15 pages, conference

Scientific paper

This survey paper presents the discrete group viewpoint on Kac-Moody groups. Over finite fields, the latter groups are finitely generated; they act on new buildings enjoying remarkable negative curvature properties. The study of these groups is shared between proving results supporting the analogy with some $S$-arithmetic groups, and exhibiting properties showing that they are new groups.

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