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 $(k,c)$ models, for local components of generalized Speh representations. We construct a family of $(k,c)$ 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.

arXiv commentarXiv admin note: substantial text overlap with arXiv:1802.02637

References in corpus (3)

• Twisted homology for the mirabolic nilradical
• Derivatives for smooth representations of GL(n,R) and GL(n,C)
• Annihilator varieties, highest derivatives, Whittaker functionals, and rank for unitary representations of GL(n,R)