Weil representations over finite fields and Shintani lift
Representation Theory
2013-03-22 v1 Number Theory
Abstract
Let Sp_V(F) be the group of isometries of a symplectic vector space V over a finite field F of odd cardinality. The group Sp_V(F) possesses distinguished representations--- the Weil representations. We know that they are compatible with base change in the sense of Shintani for a finite extension F'/F. The result is also true for the group of similitudes of V.
Keywords
Cite
@article{arxiv.1303.5141,
title = {Weil representations over finite fields and Shintani lift},
author = {Guy Henniart and Chun-Hui Wang},
journal= {arXiv preprint arXiv:1303.5141},
year = {2013}
}