Journal Home Page

Complete Contents
of this Volume

Previous Article

Next Article

Journal of Lie Theory 13 (2003), No. 1, 133--154
Copyright Heldermann Verlag 2003

Kazhdan Constants and Matrix Coefficients of Sp(n, R)

Markus Neuhauser
Inst. de Mathématiques, Université de Neuchâtel, Rue Emile Argand 11, 2007 Neuchâtel, Switzerland
Permanent Address: Technische Universität, Zentrum Mathematik, Arcisstr. 21, 80290 München, Germany

An infinitesimal Kazhdan constant of  Sp(2, R)  is computed. The methods used to prove this can also be employed to determine a quantitative estimate of the asymptotics of the matrix coefficients of  Sp(n, R)  in an elementary manner. An application of the result gives explicit Kazhdan constants for  Sp(n, R) , n ≥ 2.

[ Fulltext-pdf  (241  KB)] for subscribers only.