Mod-p maximal compact inductions do not have irreducible admissible subrepresentations

Peng Xu

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classification 🧮 math.RT math.NT

keywords admissiblecompactinductionsirreduciblemaximalmod-subrepresentationsadic

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Let $p$ be a prime number. We show in this short note that mod-$p$ maximal compact inductions of a $p$-adic split reductive group do not have irreducible admissible subrepresentations.

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Mod-p maximal compact inductions do not have irreducible admissible subrepresentations

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