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arXiv · 1501.01289

On Jacquet modules of representations of segment type

Ivan Matic·Marko Tadic
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Abstract

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).

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Ivan Matic, Marko Tadic. 2015-01-06. On Jacquet modules of representations of segment type. https://arxiv.org/abs/1501.01289

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