Formal degree and existence of stable arithmetic lattices of cuspidal representations of p-adic reductive groups

DOI10.1007/BF01393836zbMath0715.22021OpenAlexW2088557670MaRDI QIDQ752201

Marie-France Vignéras

Publication date: 1989

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143742

zbMATH Keywords

cuspidal representationformal degreeconnected reductive groupdiscrete cocompact torsion free subgroupG-stable arithmetic latticeirreducible complex representationlocal non-archimedean field

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (2)

La conjecture de Langlands locale pour GL(n,F) modulo quand ≠p, >n ⋮ On quotients of Hom-functors and representations of finite general linear groups. II

Cites Work

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• Degrees and formal degrees for division algebras and \(GL_ n\) over a p- adic field
• Representations of \(GL(n)\) and division algebras over a p-adic field
• Supercuspidal representations of \(SL_ n\) over a p-adic field: The tame case
• Representations of groups over close local fields
• Tamagawa numbers
• Admissible representations of a semi-simple group over a local field with vectors fixed under an Iwahori subgroup
• Algèbres de Hecke et induites de représentations cuspidales, pour GL (N).
• REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD

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