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Dihua Jiang, Baiying Liu (0)

Annales de l’institut Fourier

Whittaker and Bessel functors for G 𝕊 p 4

Sergey Lysenko (2006)

Annales de l’institut Fourier

The theory of Whittaker functors for G L n is an essential technical tools in Gaitsgory’s proof of the Vanishing Conjecture appearing in the geometric Langlands correspondence. We define Whittaker functors for G 𝕊 p 4 and study their properties. These functors correspond to the maximal parabolic subgroup of G 𝕊 p 4 , whose unipotent radical is not commutative.We also study similar functors corresponding to the Siegel parabolic subgroup of G 𝕊 p 4 , they are related with Bessel models for G 𝕊 p 4 and Waldspurger models for G L 2 .We...

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