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Article Dans Une Revue Representation theory Année : 2016

Dimensions of some locally analytic representations

Résumé

Let $G$ be the group of points of a split reductive group over a finite extension of ${\mathbb Q}_p$. 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 in Colmez' unitary principal series of ${\rm GL}_2({\mathbb Q}_p)$.

Dates et versions

hal-01308375 , version 1 (27-04-2016)

Identifiants

Citer

Tobias Schmidt, Matthias Strauch. Dimensions of some locally analytic representations. Representation theory, 2016, 20, pp.14-38. ⟨10.1090/ert/475⟩. ⟨hal-01308375⟩
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