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

Autor: Mínguez, Alberto, Sécherre, Vincent, Stevens, Shaun
Předmět:
Zdroj: Proceedings of the London Mathematical Society; Oct2014, Vol. 109 Issue 4, p823-891, 69p
Abstrakt: Let ${\rm F}$ be a non-Archimedean locally compact field of residue characteristic $p$, let ${\rm D}$ be a finite-dimensional central division ${\rm F}$-algebra and let $\ell$ be a prime number different from $p$. We develop a theory of $\ell$-modular types for the group ${\rm GL}_m({\rm D})$, $m\geqslant 1$, in preparation of the study of the $\ell$-modular smooth representations of this group. [ABSTRACT FROM PUBLISHER]
Databáze: Complementary Index