On the uniform distribution property of certain linear algebraic groups

Atsushi Murase

Vol. 88 (1980), No. 1, 163–187

DOI: 10.2140/pjm.1980.88.163

Abstract

Let G be a connected semisimple linear algebraic group defined over an algebraic number field k. Denote by G_k and G_A the group of k-rational points of G and its adelization. In this paper, we prove, under suitable assumptions on G, a uniformity of distribution of G_k in G_A with respect to the Haar measure on G_A.

Mathematical Subject Classification 2000

Primary: 22E55

Secondary: 20H05

Milestones

Received: 9 July 1979

Published: 1 May 1980