The problem of packing identical spheres as densely as possible in Euclidean space has a 400 year history, having been initiated by Johannes Kepler in 1611 [Ke]. Though the problem is unsolved in… (More)

Let g be a Kac–Moody Lie algebra. We give an interpretation of Tits’ associated group functor using representation theory of g and we construct a locally compact “Kac–Moody group” G over a finite… (More)

is finite, and a uniform X-lattice if Γ\X is a finite graph, non-uniform otherwise ([BL], Ch. 3). Bass and Kulkarni have shown ([BK], (4.10)) that G = Aut(X) contains a uniform X-lattice if and only… (More)

We report the final result of the CUORICINO experiment. Operated between 2003 and 2008, with a total exposure of 19.75 kg . y of Te, CUORICINO was able to set a lower bound on the Te 0mbb half-life… (More)

In this work, we construct fundamental domains for congruence subgroups of SL2(Fq[t]) and PGL2(Fq[t]). Our method uses Gekeler’s description of the fundamental domains on the BruhatTits tree X = Xq+1… (More)

simplicity of complete Kac-Moody groups over finite fields Lisa Carbone Department of Mathematics, Hill Center, Busch Campus, Rutgers, The State University of New Jersey 110 Frelinghuysen Rd… (More)

Tits has defined Kac–Moody and Steinberg groups over commutative rings, providing infinite dimensional analogues of the Chevalley–Demazure group schemes. Here we establish simple explicit… (More)

Let G be a locally compact group, and μ a left invariant Haar measure on G. A discrete subgroup Γ of G is called a Glattice if μ(Γ\G) is finite, and a uniform (or cocompact) G-lattice if Γ\G is… (More)

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… (More)