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arXiv:1303.5141 [math.RT]AbstractReferencesReviewsResources

Weil representations over finite fields and Shintani lift

Guy Henniart, Chun-Hui Wang

Published 2013-03-21Version 1

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.

Categories: math.RT, math.NT
Subjects: 11F27, 20C33
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