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arXiv · 1303.5141

Weil representations over finite fields and Shintani lift

Guy Henniart·Chun-Hui Wang
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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.

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Guy Henniart, Chun-Hui Wang. 2013-03-21. Weil representations over finite fields and Shintani lift. https://arxiv.org/abs/1303.5141

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