Refined anisotropic \(K\)-types and supercuspidal representations (Q1306212)

Let \(G\) be an arbitrary connected reductive group defined over a non-archimedean local field \(F\) of residual characteristic p. Let us construct families of positive-depth supercuspidal representations of \(G(F)\). A classification of the representations of \(G(F)\) containing any anisotropic unrefined minimal K-type in the sense of Moy-Prasad that satisfies a tameness condition is presented. It is shown that these representations are induced by some compact subgroups.