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math.RT2009★ 4 cited
Geometric Weil representation in characteristic two
Alain Genestier, Sergey Lysenko
Let k be an algebraically closed field of characteristic two. Let R be the ring of Witt vectors of length two over k. We construct a group stack \hat G over k, the metaplectic exte…
math.RT2009★ 3 cited
Compatibility of the Theta correspondence with the Whittaker functors
Vincent Lafforgue, Sergey Lysenko
We prove that the global geometric theta-lifting functor for the pair (H, G) is compatible with the Whittaker normalization, where (H,G) is one of the pairs (SO_{2n}, Sp_{2n}), (Sp…