Réseaux d'induction des représentations elliptiques de Lubin-Tate

Details Réseaux d'induction des représentations elliptiques de Lubin-Tate Réseaux d'induction des représentations elliptiques de Lubin-Tate

2008-05-19

arxiv.org/abs/0805.2826v1

Mathematics

Representation Theory

21 pages

Scientific paper

We study the reduction modulo $l$ of some elliptic representations; for each
of these representations, we give a particular lattice naturally obtained by
parabolic induction in giving the graph of extensions between its irreducible
sub-quotient of its reduction modulo $l$. The principal motivation for this
work, is that these lattices appear in the cohomology of Lubin-Tate towers.

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