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Représentations lisses de GL(m, D) II : β-extensions

Published online by Cambridge University Press:  04 December 2007

Vincent Sécherre
Affiliation:
Université d'Aix-Marseille II, Institut de Mathématiques de Luminy, 163, avenue de Luminy, Case 907, 13288 Marseille cedex 9, Francesecherre@iml.univ-mrs.fr
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Abstract

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This work is concerned with type theory for reductive groups over a non Archimedean field. Given such a field F, and a division algebra D of finite dimension over its center F, we obtain results concerning the construction of simple types for the group GL(m, D), $m\geqslant1$. More precisely, for each simple stratum of the matrix algebra M(m, D), we produce a set of β-extensions in the sense of Bushnell and Kutzko.

Type
Research Article
Copyright
Foundation Compositio Mathematica 2005