Maximal hypoellipticity and Dolbeault cohomology representations for U(p,q)

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dc.creatorPrudhon, N.
dc.date2007-05-19
dc.date.accessioned2026-07-07T08:02:30Z
dc.date.available2026-07-07T08:02:30Z
dc.descriptionLet Y=G/L be a flag manifold for a reductive G and K a maximal compact subgroup of G. We define an equivariant differential operator on G/(L cap K) playing the role of an equivariant Dolbeault Laplacian when restricted to the complex manifold G/L, using a distribution transverse to the fibers and satisfying the Hormander condition. We prove here that this operator is not maximal hypoelliptic when G=U(p,q).
dc.description14 pages, preprint, LaTeX
dc.identifierhttps://arxiv.org/abs/0705.2800
dc.identifierhttp://arxiv.org/abs/0705.2800
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/129249
dc.subjectRepresentation Theory
dc.subjectDifferential Geometry
dc.subject22E46; 53Cxx
dc.titleMaximal hypoellipticity and Dolbeault cohomology representations for U(p,q)
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