Jacquet modules of principal series generated by the trivial K-type
classification
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jacquetmodulegeneratedprincipalseriestrivialtypeapproach
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We propose a new approach for the study of the Jacquet module of a Harish-Chandra module of a real semisimple Lie group. Using this method, we investigate the structure of the Jacquet module of principal series representation generated by the trivial $K$-type.
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