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On the irreducibility of locally analytic principal series representations

S. Orlik·M. Strauch
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Abstract

Let G be a p-adic connected reductive group with Lie algebra g. For a parabolic subgroup P in G and a finite-dimensional locally analytic representation V of P, we study the induced locally analytic G-representation W = Ind^G_P(V). Our result is the following criterion concerning the topological irreducibility of W: if the Verma module U(g) \otimes_{U(p)} V' associated to the dual representation V' is irreducible then W is topologically irreducible as well.

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BibTeXRIS

S. Orlik, M. Strauch. 2006-12-28. On the irreducibility of locally analytic principal series representations. https://doi.org/10.1090/s1088-4165-2010-00387-8

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