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.
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