Types modulo ℓ\ell pour les formes intérieures de GLnGL_n sur un corps local non archimédien

preprint2014arXivOpen access

Abstract

Let F be a non-Archimedean locally compact field of residue characteristic p, let D be a finite dimensional central division F-algebra and let l be a prime number different from p. We develop a theory of l-modular types for the group GL(m,D), m\>1, in preparation of the study of the l-modular smooth representations of this group.

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