English

Hecke Algebra Correspondences for the metaplectic group

Representation Theory 2018-04-05 v2 Number Theory

Abstract

Over a p-adic field of odd residual characteristic, Gan and Savin proved a correspondence between the Bernstein components of the even and odd Weil representations of the metaplectic group and the components of the trivial representation of the equal rank odd orthogonal groups. In this paper, we extend their result to the case of even residual characteristic.

Keywords

Cite

@article{arxiv.1506.05445,
  title  = {Hecke Algebra Correspondences for the metaplectic group},
  author = {Shuichiro Takeda and Aaron Wood},
  journal= {arXiv preprint arXiv:1506.05445},
  year   = {2018}
}