$R$--groups and elliptic representations for similitude groups

Simple item page
dc.creatorGoldberg, David
dc.date1994-12-20
dc.date.accessioned2026-07-07T09:15:14Z
dc.date.available2026-07-07T09:15:14Z
dc.descriptionThe tempered spectrum of the similitude groups of non-degenerate symplectic, hermitian, or split orthogonal forms defined over $p$\snug-adic groups of characteristic zero is studied. The components of representations induced from discrete series of proper parabolic subgroups are classified in terms of $R$\snug-groups. Multiplicity one is proved. The tempered elliptic spectrum is identified, and the relation between elliptic characters appearing in a given induced representation is determined. Those irreducible tempered representations which are not elliptic and not fully induced from elliptic tempered representations are described.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/math/9412206
dc.identifierhttp://arxiv.org/abs/math/9412206
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152949
dc.subjectRepresentation Theory
dc.subjectNumber Theory
dc.title$R$--groups and elliptic representations for similitude groups
dc.typetext

Files

Collections

arXiv