Annals of Mathematics Studies, Issue 124

A¹R algebraically closed field autoduality automorphism Bj's conjugacy class convolution D-module D-module on Gm D/DL defined denote direct sum dual finite etale finite order finite subfield Fourier sheaf Fourier Transform functor galois group geometrically Ggal Ggeom GL(n GO,der H₁ H₂ holonomic holonomic D-module homomorphism Hyp₁ Hyp₂ hypergeometric of type I(∞)-representation inclusion integer inversion irreducible Fourier irreducible hypergeometric Kummer induced l-adic Lemma Lie-irreducible lisse lisse on Gm lisse sheaf middle extension monodromy at zero multiplicative translation NFT(F nonempty open set nontrivial nonzero object open set perverse Pj's polynomial prime proof pseudoreflection pure of weight Q-sheaf Q₂ QED Corollary rank rational function representation resp root of unity semisimple sheaves short exact sequence SL(n SO(N Sp(N ßj's subgroup suffices Suppose Swan Tannakian category Theorem trivial unipotent V₁ X's and p's X(Gm Xi's