2015/01/06 by Ivan Matić, Matic, Ivan, Marko Tadić +1
Mathematics · #22E50 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Analysis and Transform Methods #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1501.01289
openalex publication_date 2015/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study representations of segment type of groups Sp(n) and SO(2n+1, F) over a local non-archimedean field, which play a fundamental role in the constructions of discrete series, and obtain a complete description of the Jacquet modules of these representations. Also, we provide an alternative way for determination of Jacquet modules of strongly positive discrete series and a description of top Jacquet modules of general discrete series. In this version are corrected few typographical errors which exist in the published version of this paper (see page 5 of the paper for more details).