1Inst. de Mathématiques, Université de Neuchâtel, Rue Emile Argand 11, 2007 Neuchâtel, Switzerland 2Permanent Address: Technische Universität, Zentrum Mathematik, Arcisstr. 21, 80290 München, Germany 3An 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. 4[
Journal of Lie Theory, Tome 13 (2003) no. 1, pp. 133-154
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Markus Neuhauser. Kazhdan Constants and Matrix Coefficients of Sp(n, R). Journal of Lie Theory, Tome 13 (2003) no. 1, pp. 133-154. http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a7/
@article{JOLT_2003_13_1_a7,
author = {Markus Neuhauser},
title = {Kazhdan {Constants} and {Matrix} {Coefficients} of {Sp(n,} {R)}},
journal = {Journal of Lie Theory},
pages = {133--154},
year = {2003},
volume = {13},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a7/}
}
TY - JOUR
AU - Markus Neuhauser
TI - Kazhdan Constants and Matrix Coefficients of Sp(n, R)
JO - Journal of Lie Theory
PY - 2003
SP - 133
EP - 154
VL - 13
IS - 1
UR - http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a7/
ID - JOLT_2003_13_1_a7
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%0 Journal Article
%A Markus Neuhauser
%T Kazhdan Constants and Matrix Coefficients of Sp(n, R)
%J Journal of Lie Theory
%D 2003
%P 133-154
%V 13
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2003_13_1_a7/
%F JOLT_2003_13_1_a7
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.
