English

Similitude exceptional theta correspondences

Representation Theory 2023-08-28 v1 Number Theory Rings and Algebras

Abstract

We construct and develop a similitude version of exceptional theta correspondences and show that the Howe duality theorem follows from that for the "isometry" case. We also extend basic tools such as the seesaw identity associated to seesaw dual pairs to the similitude setting.

Keywords

Cite

@article{arxiv.2308.13339,
  title  = {Similitude exceptional theta correspondences},
  author = {Petar Bakic and Wee Teck Gan and Gordan Savin},
  journal= {arXiv preprint arXiv:2308.13339},
  year   = {2023}
}
R2 v1 2026-06-28T12:04:15.684Z