Tobias Schmidt, Matthias Strauch
Published 2014-09-29Version 1
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 ${\rm GL}_2({\mathbb Q}_p)$.
Category ${\mathcal O}$ and locally analytic representations
On some properties of the functors ${\mathcal F}^G_P$ from Lie algebra to locally analytic representations
On Jordan-Hölder series of some locally analytic representations
![QR code for arXiv:1409.7998 [math.RT]](http://oss.arxitics.com/images/favicon.svg)