Dimensions of Some Locally Analytic Representations

نویسندگان

  • TOBIAS SCHMIDT
  • MATTHIAS STRAUCH
چکیده

Let G be the group of points of a split reductive group over a finite extension of Qp. In this paper, we compute the dimensions of certain classes of locally analytic G-representations. This includes principal series representations and certain representations coming from homogeneous line bundles on p-adic symmetric spaces. As an application, we compute the dimensions of the unitary GL2pQpq-representations appearing in Colmez’ p-adic local Langlands correspondence.

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تاریخ انتشار 2016