In this paper, we introduce a notion of ladder representations for split odd
special orthogonal groups and symplectic groups over a non-archimedean local
field of characteristic zero. This is a natural class in the admissible dual
which contains both strongly positive discrete series representations and
irreducible representations with irreducible A-parameters. We compute Jacquet
modules and the Aubert duals of ladder representations, and we establish a
formula to describing ladder representations in terms of linear combinations of
standard modules.Comment: 24 page