LATTICE ACTION ON FINITE VOLUME HOMOGENEOUS SPACES

Title & Authors
LATTICE ACTION ON FINITE VOLUME HOMOGENEOUS SPACES
OH HEE;

Abstract
We study the distribution of a dense orbit of a lattice A acting by the right multiplication on the space $\small{\Gamma/G}$ where G is a connected simple Lie group and $\small{\Gamma}$ its lattice. We show that for $\small{G=SL_n(\mathbb{R})}$, every dense orbit is equidistributed with respect to the Euclidean norm.
Keywords
unipotent;lattice;honogeneous;equi-distribution;
Language
English
Cited by
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