On the Irreducibility of Locally Analytic Principal Series Representations
نویسندگان
چکیده
Let G be a p-adic connected reductive group with Lie algebra g. For a parabolic subgroup P ⊂ G and a finite-dimensional locally analytic representation V of a Levi subgroup of P, we study the induced locally analytic G-representation W = IndP (V ). Our result is the following criterion concerning the topological irreducibility of W : If the Verma module U(g) U(p) V ′ associated to the dual representation V ′ is irreducible, then W is topologically irreducible as well.
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