The Structure of Degenerate Principal Series Representations of Exceptional Groups of Type E₆ over p-adic Fields

2018/11/07 by Hezi Halawi, Halawi, Hezi, Avner Segal +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1811.02974

openalex publication_date 2018/11/07 · openalex created_date 2018/11/16 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the reducibility of degenerate principal series of the simple, simply-connected exceptional group of type E₆. Furthermore, we calculate the maximal semi-simple subrepresentation and quotient of these representations.

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