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Fourier-Deligne transform and representations of the symmetric group

2013
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Mathematical Research Letters
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We calculate the Fourier-Deligne transform of the IC extension to C n+1 of the local system L Λ on the cone over Conf n (P 1 ) associated with a representation Λ of the symmetric group S n , where the length n − k of the first row of the Young diagram of Λ is at least 2 . The answer is the IC extension to the dual vector space C n+1 of the local system R λ on the cone over the kth secant variety of the rational normal curve in P n , where R λ corresponds to the representation λ of S k , the

doi:10.4310/mrl.2013.v20.n6.a5
fatcat:taavs7tjmrdurjf6ddz2tl7jxi