Representations lisses de GL(m,D), IV : representations supercuspidales

Details Representations lisses de GL(m,D), IV : representations supercuspidales Representations lisses de GL(m,D), IV : representations supercuspidales

2006-07-12

arxiv.org/abs/math/0607298v1

Mathematics

Representation Theory

66 pages, French

Scientific paper

Let F be a non Archimedean locally compact field and let D be a central
F-division algebra. We prove that any positive level supercuspidal irreducible
representation of the group GL(m,D) is compactly induced from a representation
of a compact mod center open subgroup of GL(m,D). More precisely, we prove that
such representations contain a maximal simple type.

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