INFINITE DESCENDING CHAINS OF COCOMPACT LATTICES IN KAC–MOODY GROUPS
نویسندگان
چکیده
منابع مشابه
Infinite Descending Chains of Cocompact Lattices in Kac-moody Groups
Let A be a symmetrizable affine or hyperbolic generalized Cartan matrix. Let G be a locally compact Kac-Moody group associated to A over a finite field Fq. We suppose that G has type ∞, that is, the Weyl group W of G is a free product of Z/2Z’s. This includes all locally compact Kac-Moody groups of rank 2 and three possible locally compact rank 3 Kac-Moody groups of noncompact hyperbolic type. ...
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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-transitiv...
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2011
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498811005130