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Orthogonalité des caractères pour GLn sur un corps local de caractéristique non nulle

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Abstract:

We prove the orthogonality relations for characters of GL n(F) with F a local field of positive characteristic. Using this, we establish a Jacquet-Langlands correspondence with the group of invertible elements of a central division algebra of dimension n 2 over F, and the transfer of orbital integrals between these two groups.

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  1. Université de Poitiers, UFR Sciences SP2MI, Département de mathématiques, Téléport 2, Boulevard Marie et Pierre Curie, BP 30179, 86962 Futuroscope Chasseneuil Cedex. E-mail: badulesc@wallis.sp2mi.univ-poitiers.fr, , , , , , FR

    A. I. Badulescu

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  1. A. I. Badulescu
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Received: 16 February 1999

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Badulescu, A. Orthogonalité des caractères pour GLn sur un corps local de caractéristique non nulle. manuscripta math. 101, 49–70 (2000). https://doi.org/10.1007/s002290050004

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  • DOI: https://doi.org/10.1007/s002290050004

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