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arxiv: 1102.3657 · v2 · pith:LGHIZGA6new · submitted 2011-02-17 · 🧮 math.RT · math.FA

On differentiability of vectors in Lie group representations

classification 🧮 math.RT math.FA
keywords linearityproblemrepresentationsvectorsaddressconvexderivativesdifferentiability
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We address a linearity problem for differentiable vectors in representations of infinite-dimensional Lie groups on locally convex spaces, which is similar to the linearity problem for the directional derivatives of functions.

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