Lifting smooth curves over invariants for representations of compact Lie groups. II

2004/02/29 by Andreas Kriegl, Mark Losik, Peter W. Michor +1
Mathematics · #math.RT #math.CA #msc:26C10

paper · pdf

published as J. Lie Theory 15 (2005), No. 1, 227--234 · Latex, 7 pages, last section omitted

arxiv created 2004/08/25 · arxiv updated 2009/12/01

Abstract

Any sufficiently often differentiable curve in the orbit space of a compact Lie group representation can be lifted to a once differentiable curve into the representation space.

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• Lifting smooth curves over invariants for representations of compact Lie groups
• Representations of compact simple Lie groups whose orbit space has non-empty boundary
• Determining a semisimple group from its representation degrees
• Taut representations of compact simple Lie groups
• Regular infinite dimensional Lie groups