English

The generalized doubling method: $(k,c)$ models

Number Theory 2021-09-24 v1 Representation Theory

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.

Keywords

Cite

@article{arxiv.2109.11309,
  title  = {The generalized doubling method: $(k,c)$ models},
  author = {Yuanqing Cai and Solomon Friedberg and Dmitry Gourevitch and Eyal Kaplan},
  journal= {arXiv preprint arXiv:2109.11309},
  year   = {2021}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1802.02637

R2 v1 2026-06-24T06:15:16.356Z