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On some degenerate principal series representations of \(U(n,n)\) - MaRDI portal

On some degenerate principal series representations of \(U(n,n)\) (Q1891769)

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scientific article; zbMATH DE number 763973
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On some degenerate principal series representations of \(U(n,n)\)
scientific article; zbMATH DE number 763973

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    On some degenerate principal series representations of \(U(n,n)\) (English)
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    17 January 1996
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    Ideas due to Bargmann and to Howe and Tan on the decomposition of the representation space for \(\text{SL} (2,R)\) into a sum of eigenspace its compact subgroup are applied to the study of a family of degenerate principal series representations of the group \(U(n,n)\).
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    decomposition of the representation space
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    \(\text{SL} (2,R)\)
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    compact subgroup
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    degenerate principal series representations
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    \(U(n,n)\)
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