From category ${\mathcal{O}}^{\infty }$ to locally analytic representations

Shishir Agrawal, Matthias Strauch

Let $G$ be a $p$-adic reductive group and $\mathfrak{g}$ its Lie algebra. We construct a functor from the extension closure of the Bernstein-Gelfand-Gelfand category $\mathcal{O}$…