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The explicit expression of the Harish-Chandra \(C\)-function of \(SU(n,1)\) associated to the fundamental representations of \(K\) - MaRDI portal

The explicit expression of the Harish-Chandra \(C\)-function of \(SU(n,1)\) associated to the fundamental representations of \(K\) (Q1917223)

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scientific article; zbMATH DE number 897339
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English
The explicit expression of the Harish-Chandra \(C\)-function of \(SU(n,1)\) associated to the fundamental representations of \(K\)
scientific article; zbMATH DE number 897339

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    The explicit expression of the Harish-Chandra \(C\)-function of \(SU(n,1)\) associated to the fundamental representations of \(K\) (English)
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    7 July 1996
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    The authors determine explicit formulas for the Harish-Chandra \(C\)-functions attached to fundamental representations of the maximal compact subgroup \(K = S(U(n) \times U(1))\) in the group \(SU(n,1)\).
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    semisimple Lie groups
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    infinite dimensional representations
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    Harish-Chandra \(C\)-functions
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    fundamental representations
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