In this paper, we prove certain multiplicity one theorems and define twisted gamma factors for irreducible generic cuspidal representations of split G(2) over finite fields k of odd characteristic. Then we prove the first converse theorem for exceptional groups, namely, GL(1) and GL(2)-twisted gamma factors will uniquely determine an irreducible generic cuspidal representation of G(2)(k).
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Tel Aviv Univ, Raymond & Beverly Sackler Sch Math Sci, IL-69978 Tel Aviv, IsraelTel Aviv Univ, Raymond & Beverly Sackler Sch Math Sci, IL-69978 Tel Aviv, Israel
Bary-Soroker, Lior
Entin, Alexei
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Tel Aviv Univ, Raymond & Beverly Sackler Sch Math Sci, IL-69978 Tel Aviv, IsraelTel Aviv Univ, Raymond & Beverly Sackler Sch Math Sci, IL-69978 Tel Aviv, Israel
Entin, Alexei
Fehm, Arno
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Tech Univ Dresden, Inst Algebra, Fak Math, D-01062 Dresden, GermanyTel Aviv Univ, Raymond & Beverly Sackler Sch Math Sci, IL-69978 Tel Aviv, Israel
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Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R ChinaNatl Taiwan Univ, Ctr Adv Study Theoret Sci, Taipei 10764, Taiwan
机构:
Univ Claude Bernard Lyon 1, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, FranceUniv Claude Bernard Lyon 1, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France
Bozec, Tristan
Schiffmann, Olivier
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Univ Paris Sud, Dept Math, Batiment 425, F-91405 Orsay, FranceUniv Claude Bernard Lyon 1, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France
Schiffmann, Olivier
Vasserot, Eric
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Univ Paris 07, Dept Math, Bat Sophie Germain,5 Rue Thomas Mann, F-75205 Paris 13, FranceUniv Claude Bernard Lyon 1, 43 Blvd 11 Novembre 1918, F-69622 Villeurbanne, France
Vasserot, Eric
ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE,
2020,
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