A notion of rank for unitary representations of reductive groups based on Kirillov's orbit method

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dc.creatorSalmasian, Hadi
dc.date2005-04-18
dc.date2006-08-21
dc.date.accessioned2026-07-07T06:39:48Z
dc.date.available2026-07-07T06:39:48Z
dc.descriptionWe introduce a new notion of rank for unitary representations of semisimple groups over a local field of characteristic zero. The theory is based on Kirillov's method of orbits for nilpotent groups over local fields. When the semisimple group is classical, we prove that the new theory is essentially equivalent to Howe's theory of N-rank.
dc.identifierhttps://arxiv.org/abs/math/0504363
dc.identifierhttp://arxiv.org/abs/math/0504363
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101215
dc.subjectRepresentation Theory
dc.subject22E46;22E50;11F27
dc.titleA notion of rank for unitary representations of reductive groups based on Kirillov's orbit method
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