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arXiv · 2511.05690

Lie Algebras of vector fields on convenient manifolds

Arnold Neumaier·Phillip Josef Bachler
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Abstract

We discuss various old and new definitions of the notion of a vector field on a convenient manifold that can be proved to give rise to Lie algebras, and are in finite dimensions equivalent to the standard notion of a vector field.

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Arnold Neumaier, Phillip Josef Bachler. 2025-11-07. Lie Algebras of vector fields on convenient manifolds. https://arxiv.org/abs/2511.05690

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