A remark on the Harish-Chandra series for hyperboloids (Q2751984)

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scientific article; zbMATH DE number 1665302
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A remark on the Harish-Chandra series for hyperboloids
scientific article; zbMATH DE number 1665302

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    29 May 2002
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    Harish-Chandra series
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    determinantal formula
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    A remark on the Harish-Chandra series for hyperboloids (English)
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    This paper presents a determinantal formula providing explicit evaluation for the Harish-Chandra series on the real hyperboloid \(SO_0(p,q;\mathbb R)/SO_0(p-1,q;\mathbb R)\) with \(p\) and \(q\) odd and larger than 1. The formula can also be found in [\textit{J. F. van Diejen} and \textit{A. N. Kirillov}, Math. Ann. 319, No. 2, 215-234 (2001; Zbl 0983.43007)].NEWLINENEWLINEFor the entire collection see [Zbl 0964.00054].
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