Jacquet modules of principal series generated by the trivial K-type

2006/01/19 by Noriyuki Abe, Abe, Noriyuki · 1 citation
Mathematics · #22E47 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT) #math.RT #msc:22E47

paper · pdf · doi:10.48550/arxiv.math/0601462

18 pages

openalex publication_date 2006/01/19 · arxiv created 2006/01/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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