Generalized injectivity conjecture for classical p-adic groups II

We complete our previous results on the generalized injectivity conjecture for classical p-adic groups. In our previous work, we proved that any irreducible generic subquotient of a standard representation parabolically induced from a maximal parabolic subgroup is, in fact, a subrepresentation. We now generalize this results to any standard representation, i.e. induced from a representation of any standard parabolic subgroup and, in this way, prove the generalized injectivity conjecture for classical p-adic groups completely. (C) 2019 Elsevier B.V. All rights reserved.