Cocompact Lattices of Minimal Covolume in Rank 2 Kac–moody Groups, Part Ii

نویسنده

  • ANNE THOMAS
چکیده

Let G be a topological Kac–Moody group of rank 2 with symmetric Cartan matrix, defined over a finite field Fq . An example is G = SL(2,Fq((t−1))). We determine a positive lower bound on the covolumes of cocompact lattices in G, and construct a cocompact lattice Γ0 < G which realises this minimum. This completes the work begun in Part I, which considered the cases when G admits an edge-transitive lattice.

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تاریخ انتشار 2010