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
| Language | Label | Description | Also known as |
|---|---|---|---|
| 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 |
Statements
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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