Représentations lisses de GLm(D) IV: représentations supercuspidales

Vincent Sécherre; Shaun Stevens

doi:10.1017/S1474748008000078

Représentations lisses de GL_m(D) IV: représentations supercuspidales

Vincent Sécherre, Shaun Stevens

Algebra, Number Theory, Logic, and Representations (ANTLR)

Research output: Contribution to journal › Article › peer-review

53 Citations (Scopus)

43 Downloads (Pure)

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 GLm(D) is compactly induced from a representation of a compact mod center open subgroup of GLm(D). More precisely, we prove that such representations contain a maximal simple type.

Original language	English
Pages (from-to)	527-574
Number of pages	48
Journal	Journal of the Institute of Mathematics of Jussieu
Volume	7
Issue number	03
DOIs	https://doi.org/10.1017/S1474748008000078
Publication status	Published - 2008

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10.1017/S1474748008000078

repIV.pdfAccepted author manuscript, 563 KB
repIV.dviOther version, 363 KB

http://arxiv.org/abs/math.RT/0607298

Explicit and I-modular theta correspondence
Stevens, S.
Engineering and Physical Sciences Research Council
15/07/08 → 14/01/12
Project: Research

Cite this

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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 GLm(D) is compactly induced from a representation of a compact mod center open subgroup of GLm(D). More precisely, we prove that such representations contain a maximal simple type.",

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AB - 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 GLm(D) is compactly induced from a representation of a compact mod center open subgroup of GLm(D). More precisely, we prove that such representations contain a maximal simple type.

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DO - 10.1017/S1474748008000078

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Représentations lisses de GLm(D) IV: représentations supercuspidales

Abstract

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Projects

Explicit and I-modular theta correspondence

Cite this

Représentations lisses de GL_m(D) IV: représentations supercuspidales