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Un théorème de finitude (A Theorem of Finitude)

Published online by Cambridge University Press:  04 December 2007

Alexandru Ioan Badulescu  and
Paul Broussous
Alexandru Ioan Badulescu
Affiliation:
Université de Poitiers, UFR Sciences SP2MI, Département de mathématiques, UMR CNRS 6086 Groupes de Lie et géométrie, Téléport 2, Boulevard Marie et Pierre Curie, BP 30179, 86962 Futuroscope Chasseneuil Cedex, France. E-mail: badulesc@wallis.sp2mi.univ-poitiers.fr
Paul Broussous
Affiliation:
Université de Poitiers, UFR Sciences SP2MI, Département de mathématiques, UMR CNRS 6086 Groupes de Lie et géométrie, Téléport 2, Boulevard Marie et Pierre Curie, BP 30179, 86962 Futuroscope Chasseneuil Cedex, France. E-mail: broussous@wallis.sp2mi.univ-poitiers.fr
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Abstract

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We prove that, for an inner form of GLn, the number of classes of cuspidal automorphic representations with fixed central character and fixed factor at almost every place is finite. We also prove, in the local situation, relations between the level and the ε-factor of an irreducible smooth representation.

Keywords

levelε-factorautomorphic representation
Type
Research Article
Information
Compositio Mathematica , Volume 132 , Issue 2 , June 2002 , pp. 177 - 190
Copyright
© 2002 Kluwer Academic Publishers