Whittaker models for highest weight representations of semisimple Lie groups and embeddings into the principal series (Q1097977)
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scientific article; zbMATH DE number 4036094
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Whittaker models for highest weight representations of semisimple Lie groups and embeddings into the principal series |
scientific article; zbMATH DE number 4036094 |
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Whittaker models for highest weight representations of semisimple Lie groups and embeddings into the principal series (English)
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1987
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The author announces results whose proofs are to appear elsewhere. Let G/K be a Hermitian symmetric space. Then for a class of irreducible highest weight G-modules (containing the holomorphic discrete series and the finite dimensional representations) embeddings into induced representations are described explicitly. Firstly embeddings into so called generalized Gelfand-Graev representations are given, yielding Whittaker models. Secondly embeddings into the principal series are described.
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Hermitian symmetric space
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irreducible highest weight G-modules
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holomorphic discrete series
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finite dimensional representations
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induced representations
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Gelfand-Graev representations
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Whittaker models
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principal series
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