Journal of Lie Theory

no. 1
Kazhdan Constants and Matrix Coefficients of Sp(n, R)
Journal of Lie Theory, Volume 13 (2003) no. 1, pp. 133-154
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.
DOI: 10.5802/jolt.294
Classification: 22E45, 22D10
Keywords: Kazhdan constant, locally compact group, Kazhdan's property \(T\), Kazhdan pair 
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     author = {M. Neuhauser},
     title = {Kazhdan {Constants} and {Matrix} {Coefficients} of {Sp(n,} {R)}},
     journal = {Journal of Lie Theory},
     pages = {133--154},
     year = {2003},
     volume = {13},
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     doi = {10.5802/jolt.294},
     zbl = {1020.22004},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.294/}
}
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M. Neuhauser. Kazhdan Constants and Matrix Coefficients of Sp(n, R). Journal of Lie Theory, Volume 13 (2003) no. 1, pp. 133-154. doi: 10.5802/jolt.294

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