I am wondering if there are CFTs such that n-point correlation functions in them of the fields (may be the primaries or of some notion of twist fields) is exactly known. Are there such? Aren't minimal models supposed to have this property? Even if not exactly known, can the n-point functions...

Let $K/\mathbf{Q}_p$ be a finite extension, and let $V$ be an $n$-dimensional $p$-adic representation of $G_K$. Suppose $V$ is de Rham, so potentially semistable; let $\mathrm{WD}(V)=(W,\rho,N)$ be the Weil-Deligne representation associated with $V$ by Fontaine, and let $\pi=\mathrm{rec}_K^{-1}(...

This is crossposted from MSE. The question: Find the Wedderburn decomposition of $D_{5},$ the dihedral group of order 10, over the field $\mathbb{F}_{3}.$ I have shown that the irreducible representations of $D_{5}$ over $\mathbb{F}_{3}$ are the two trivial 1-dimensional representations, and...