Intertwining and supercuspidal types for \(p\)-adic classical groups (Q2766412)

This paper is devoted to the study of the construction of representations of unitary groups defined with respect to a quadratic extension \(F/F_0\) of non-Archimedean local fields; this includes orthogonal and symplectic groups. The goal is the analogue of the method of induction from compact-open subgroups. In this case there are additional difficulties in comparison to the theory of \(GL(N,F)\) because of the more complicated structure of the compact-open subgroups. This means that one cannot use Glauberman's theorem directly. The author develops a more elaborate theory based on his notion of simple and semisimple characters. He then demonstrates how this theory can be used to construct irreducible supercuspidal representations of the groups in question.