1 8 Fe b 20 04 KAC - MOODY GROUPS AS DISCRETE GROUPS
نویسنده
چکیده
— 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.
منابع مشابه
Integral Forms of Kac–moody Groups and Eisenstein Series in Low Dimensional Supergravity Theories
Kac–Moody groups G over R have been conjectured to occur as symmetry groups of supergravities in dimensions less than 3, and their integer forms G(Z) are conjecturally U– duality groups. Mathematical descriptions of G(Z), due to Tits, are functorial and not amenable to computation or applications. We construct Kac–Moody groups over R and Z using an analog of Chevalley’s constructions in finite ...
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