Duality between GL(n,R) and the degenerate affine Hecke algebra for gl(n)

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dc.creatorCiubotaru, Dan
dc.creatorTrapa, Peter E.
dc.date2009-03-05
dc.date2009-03-06
dc.date.accessioned2026-07-07T12:49:22Z
dc.date.available2026-07-07T12:49:22Z
dc.descriptionWe define an exact functor $F_{n,k}$ from the category of Harish-Chandra modules for $GL(n,R)$ to the category of finite-dimensional representations for the degenerate affine Hecke algebra for $gl(k)$. Under certain natural hypotheses, we prove that the functor maps standard modules to standard modules (or zero) and irreducibles to irreducibles (or zero).
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0903.1043
dc.identifierhttp://arxiv.org/abs/0903.1043
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222379
dc.subjectRepresentation Theory
dc.titleDuality between GL(n,R) and the degenerate affine Hecke algebra for gl(n)
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