In this paper, the proof of the finite-field-analogue of Jacquet's conjecture on local converse theorem for cuspidal representations of general linear groups is given. More precisely, the set of twisted gamma factors of π, together with a central character ωπ, determine uniquely (up to isomorphism) the irreducible cuspidal representation π of GLn (Fq), where Gt denotes the set of irreducible generic representations of GLt(Fq), and Fq denotes a finite field of q elements.
|Number of pages||22|
|Journal||American Journal of Mathematics|
|Publication status||Published - 2014 Jan 1|
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