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

Vincent Secherre·Shaun Stevens
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Abstract

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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Vincent Secherre, Shaun Stevens. 2006-07-12. Representations lisses de GL(m,D), IV : representations supercuspidales. https://arxiv.org/abs/math/0607298

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