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On the local and global exterior square L-functions

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arxiv 1201.4126 v3 pith:4YXXTM7W submitted 2012-01-19 math.NT math.RT

classification math.NTmath.RT
keywords localrepresentationssquareconstructedexteriorgloball-functionscoincide
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We show that the local exterior square L-functions of GL_n constructed via the theory of integral representations by Jacquet and Shalika coincide with those constructed by the Langlands-Shahidi method for square integrable representations (and for all irreducible representations when n is even). We also deduce several local and global consequences.

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