ON IRREDUCIBILITY OF STANDARD MODULES FOR GENERIC REPRESENTATIONS

In this paper the authors generalize a result of Vogan on irreducibili ty of standard modules for generic representations from real groups to p-adic ones whenever the inducing data is supercuspidal. They also pr ove injectivity for standard modules in this case. As applications, th e authors prove a number of results relating the poles of intertwining operators and points of reducibility of induced representations to th e poles of L-functions defined by the second author, module a conjectu re on them whose validity for classical groups is also verified here. A result on certain real groups with applications in liftings of autom orphic forms from classical groups to general linear groups via L-func tions is also proved. (C) Elsevier, Paris.