Locally analytic vectors of unitary principal series of
Ruochuan Liu, Bingyong Xie, Yuancao Zhang (2012)
Annales scientifiques de l'École Normale Supérieure
Similarity:
The -adic local Langlands correspondence for attaches to any -dimensional irreducible -adic representation of an admissible unitary representation of . The unitary principal series of are those corresponding to trianguline representations. In this article, for , using the machinery of Colmez, we determine the space of locally analytic vectors for all non-exceptional unitary principal series of by proving a conjecture of Emerton.