Trianguline representations and locally analytic principal series of ${\mathrm{GL}}_2({\mathbb{Q}}_p)$

Matthias Strauch, Zichuan Wang

Let $\rho$ be an absolutely irreducible 2-dimensional $p$-adic representation of the absolute Galois group of ${\mathbb{Q}}_p$, and let $\Pi (\rho )$ be the unitary Banach space representatio…