On some nonadmissible smooth irreducible representations of GL₂

2018/09/26 by Daniel Le, Le, Daniel
Mathematics · #11S37 #22E50 #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1809.10247

openalex publication_date 2018/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let p>2 be a prime. We give examples of smooth absolutely irreducible representations of GL₂(ℚ_p³) over \mathbbF_p³ which are not admissible.

Citations

• Questions on mod p representations of reductive p-adic groups

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