Un Theoreme De Finitude Dans Le Spectre Automorphe Pour Les Formes Interieures De GLn Sur Un Corps Global |
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Authors: | Badulescu Alexandru Ioan |
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Institution: | Université de Poitiers, Département de Mathématiques Téléport 2, Boulevard Marie et Pierre Curie, BP 30179, 86962 Futuroscope Chasseneuil Cedex, France badulesc{at}math.univ-poitiers.fr |
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Abstract: | A proof is given to show that for an inner form of GLn overa global field of zero characteristic, there exist only a finitenumber of automorphic representations with fixed local factor(up to equivalence) at almost every place. What is new in comparisonto earlier work (see A. I. Badulescu and P. Broussous, Unthéorème de finitude, Compositio Math.132 (2002) 177190) is the case when the local factorsare not fixed at the infinite places, as well as the statementof the result for the automorphic spectrum, rather than thecuspidal one. 2000 Mathematics Subject Classification 11F70. |
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