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math.RT2008★ 41 cited
Twisted geometric Satake equivalence
Michael Finkelberg, Sergey Lysenko
We generalize the classical Satake equivalence as follows. Let k be an algebraically closed field, set O=k[[t]] and F=k((t)). For an almost simple algebraic group G we classify cen…
math.RT2008★ 3 cited
Geometric theta-lifting for the dual pair GSp_{2n}, GSO_{2m}
Sergey Lysenko
Let X be a smooth projective curve over an algebraically closed field of characteristic >2. Consider the dual pair H=GSO_{2m}, G=GSp_{2n} over X, where H splits over an etale two-s…