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Determination of the intertwining operators for holomorphically induced representations of SU(p,q) - MaRDI portal

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Determination of the intertwining operators for holomorphically induced representations of SU(p,q) (Q1095267)

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scientific article; zbMATH DE number 4027780
Language Label Description Also known as
English
Determination of the intertwining operators for holomorphically induced representations of SU(p,q)
scientific article; zbMATH DE number 4027780

    Statements

    Determination of the intertwining operators for holomorphically induced representations of SU(p,q) (English)
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    1986
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    For holomorphically induced representations X, Y for SU(p,q) with integral highest weights and regular infinitesimal characters, the authors describe Hom(X,Y) in terms of two conditions for the existence of a nonzero \({\mathfrak g}\)-module homomorphism between a generalized Verma module and the appropriate generalized Verma module corresponding to the holomorphically induced representation.
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    integral character
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    root
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    holomorphically induced representations
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    highest weights
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    infinitesimal characters
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    Verma module
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