The generalized doubling method: (𝑘,𝑐) models

Abstract

One of the key ingredients in the recent construction of the generalized doubling method is a new class of models, called ( k , c ) (k,c) models, for local components of generalized Speh representations. We construct a family of ( k , c ) (k,c) representations, in a purely local setting, and discuss their realizations using inductive formulas. Our main result is a uniqueness theorem which is essential for the proof that the generalized doubling integral is Eulerian.