Appendix D: Vector fields and their Lie bracket Part 2
Channel: Alexander Schmeding
Date: 2020-10-17

We continue the investigation of basic properties of vector fields. In particular, we prove that they form a Lie algebra and discuss conditions which turn the Lie algebra into a locally convex Lie algebra.

This is part of the course MAT331: Topics in Analysis at the University of Bergen in Fall 2020. 
This course (and the lecture) was supported by Trond Mohn foundation within the Pure Mathematics in Norway program (https://www.puremath.no/).