## Abstract

We study distribution of orbits of a lattice Gamma subset of or equal to SL(n, R) in the the space V-n,V-l of l-frames in R-n (1 less than or equal to l less than or equal to n - 1). Examples of dense Gamma-orbits are known from the work of Dani, Raghavan, and Veech. We show that dense orbits of Gamma are uniformly distributed in V-n,V-l with respect to an explicitly described measure. We also establish an analogous result for lattices in Sp(n, R) which act on the space of isotropic n-frames.

Translated title of the contribution | Uniform distribution of orbits of lattices on spaces of frames |
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Original language | English |

Pages (from-to) | 549 - 589 |

Number of pages | 41 |

Journal | Duke Mathematical Journal |

Volume | 122 (3) |

DOIs | |

Publication status | Published - Apr 2004 |