Uniform Distribution of Orbits of Lattices on Spaces of Frames
نویسنده
چکیده
Abstract. We study distribution of orbits of a lattice Γ ⊆ SL(n,R) in the the space Vn,l of l-frames in R (1 ≤ l ≤ n − 1). Examples of dense Γ-orbits are known from the work of Dani, Raghavan, and Veech. We show that dense orbits of Γ are uniformly distributed in Vn,l with respect to an explicitly described measure. We also establish analogous result for lattices in Sp(n,R) that act on the space of isotropic n-frames.
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تاریخ انتشار 2008