Lifting smooth curves over invariants for representations of compact Lie groups, III

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dc.creatorKriegl, Andreas
dc.creatorLosik, Mark
dc.creatorMichor, Peter W.
dc.creatorRainer, Armin
dc.date2005-04-06
dc.date.accessioned2026-07-07T08:14:03Z
dc.date.available2026-07-07T08:14:03Z
dc.descriptionAny sufficiently often differentiable curve in the orbit space $V/G$ of a real finite-dimensional orthogonal representation $G \to O(V)$ of a finite group $G$ admits a differentiable lift into the representation space $V$ with locally bounded derivative. As a consequence any sufficiently often differentiable curve in the orbit space $V/G$ can be lifted twice differentiably. These results can be generalized to arbitrary polar representations. Finite reflection groups and finite rotation groups in dimensions two and three are discussed in detail.
dc.description19 pages, Latex
dc.identifierhttps://arxiv.org/abs/math/0504101
dc.identifierhttp://arxiv.org/abs/math/0504101
dc.identifierJ. Lie Theory 16 (2006), 579--600
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132984
dc.subjectRepresentation Theory
dc.subjectClassical Analysis and ODEs
dc.subject22E45; 20F55
dc.titleLifting smooth curves over invariants for representations of compact Lie groups, III
dc.typetext

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