Types modulo ℓ pour les formes intérieures de GL_n sur un corps local non archimédien

2014/04/03 by Minguez, Alberto, Sécherre, Vincent · 1 citation
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1404.0804

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.

Cited by

• On the non-generic part of cohomology of compact unitary Shimura varieties of signature (1,n)

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