Classical lifting processes and multiplicative vector fields

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dc.creatorMackenzie, Kirill
dc.creatorXu, Ping
dc.date1997-10-28
dc.date.accessioned2026-07-07T03:24:34Z
dc.date.available2026-07-07T03:24:34Z
dc.descriptionWe extend the calculus of multiplicative vector fields and differential forms and their intrinsic derivatives from Lie groups to Lie groupoids; this generalization turns out to include also the classical process of complete lifting from arbitrary manifolds to tangent and cotangent bundles. Using this calculus we give a new description of the Lie bialgebroid structure associated with a Poisson groupoid.
dc.descriptionLatex, 27 pages, Quarterly J. Math. (Oxford), to appear
dc.identifierhttps://arxiv.org/abs/dg-ga/9710030
dc.identifierhttp://arxiv.org/abs/dg-ga/9710030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33375
dc.subjectDifferential Geometry
dc.subjectPrimary 58F05. Secondary 17B66, 22A22, 53C99, 58H05
dc.titleClassical lifting processes and multiplicative vector fields
dc.typetext

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