REPRÉSENTATIONS LISSES DE $\mathrm{GL}_{m}(\mathrm{D})$ IV : REPRÉSENTATIONS SUPERCUSPIDALES

Autor:	S. Stevens, V. Sécherre
Rok vydání:	2008
Předmět:	Pure mathematics Group (mathematics) General Mathematics Irreducible representation Field (mathematics) Locally compact space Simple type Center (group theory) Algebra over a field Mathematics::Representation Theory Representation (mathematics) Mathematics
Zdroj:	Journal of the Institute of Mathematics of Jussieu. 7
ISSN:	1475-3030 1474-7480
DOI:	10.1017/s1474748008000078
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7b2a0c3308bc63947cb6b92327e77e79 https://doi.org/10.1017/s1474748008000078 Zobrazit plný text záznamu