Let G be a unitary, symplectic or special orthogonal group over a locally compact nonarchimedean local field of odd residual characteristic. We construct many new supercuspidal representations of G, and Bushnell-Kutzko types for these representations. Moreover, we prove that every irreducible supercuspidal representation of G arises from our constructions.

We prove that every irreducible, admissible representation π of GSp(4, F ), where F is a non-archimedean local field of characteristic zero, admits a Bessel functional, provided π is not onedimensional. If π is not supercuspidal, we explicitly determine the set of all Bessel functionals admitted by π, and prove that Bessel functionals of a fixed type are unique. If π is supercuspidal, we do the...

In this paper, we continue our study of non-supercuspidal discrete series for the classical groups Sp(2n, F ), SO(2n+ 1, F ), where F is p-adic.

Let G be Sp(2n, F) (resp. SO(2n + 1, F)), where F is a p-adic field of characteristic zero. In this paper, we give a correspondence which associates to an irreducible representation of G an m-tuple of irreducible representations of lower rank symplectic (resp. orthogonal) groups based on the supercuspidal support of . We show that this correspondence respects the induction and Jacquet module fu...

Let $F$ be a non-archimedean local field of residual characteristic $p \neq 2$ . $G$ (connected) reductive group over that splits tamely ramified extension We revisit Yu's construction smooth complex representations $G(F)$ from slightly different perspective and provide proof the resulting are supercuspidal. also counterexample to Proposition 14.1 Theorem 14.2 in Yu [ Construction tame supercus...

The article gives explicit values of some constants which appear in the character formula for the irreducible supercuspidal representation of GLl(F ) for F a local field of the residual characteristic p = l.