Infinite-dimensional geometry 3.2: The Lie algebra of a Lie group
Channel: Alexander Schmeding
Date: 02/12/2020

We define (locally convex) Lie algebras and give several examples. We then set out to construct the Lie algebra of vector fields of a manifold. 
Created a new video as the quality of the lecture video was not sufficient

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/).