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摘要
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 pi, {gamma(pi x tau,Psi)| tau is an element of g(t), 1 <= t <= [n/2]}, together with a central character w(pi) determine uniquely (up to isomorphism) the irreducible cuspidal representation pi of GL(n)(F-q), where g(t) denotes the set of irreducible generic representations of GL(t)(F-q), and F-q denotes a finite field of q elements.
- 出版日期2014-6
