The Fine Structure of Translation Functors

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dc.creatorGuenzl, Karen
dc.date1998-08-28
dc.date.accessioned2026-07-07T05:25:48Z
dc.date.available2026-07-07T05:25:48Z
dc.descriptionLet E be a simple finite dimensional representation of a semisimple Lie algebra with extremal weight nu and choose nonzero e in E_{nu}. Let M(tau) be the Verma module with highest weight tau and v_{tau} in M(tau)_{tau} its canonical generator. We investigate the projection of e \otimes v_{tau} in E \otimes M(tau) on the central character chi(tau + nu). This is a rational function in tau and we calculate its poles and zeros. We then apply this result in order to compare translation functors.
dc.description28 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/9808117
dc.identifierhttp://arxiv.org/abs/math/9808117
dc.identifierRepresentation Theory 3 (1999), pp. 223-249. An Electronic Journal of the AMS.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77322
dc.subjectRepresentation Theory
dc.subject17B10
dc.titleThe Fine Structure of Translation Functors
dc.typetext

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