0
votes
1answer
50 views

Lie bracket of vector fields on $\Bbb R^{n}$

Please show how to solve? I am stack with lie bracket. Thank you.
8
votes
4answers
275 views

Determining the action of the operator $D\left(z, \frac d{dz}\right)$

This question was motivated by a question by Tobias Kienzler and its wonderful answers. I begin as in the linked question... Using the Taylor expansion $$f(z+a) = \sum_{k=0}^\infty ...
0
votes
1answer
218 views

Lie algebra of the bounded continuous functions

I can think of the set of bounded, continuous functions from R -> R as a group, with composition as addition of functions. {In other words, this group has the rule that the composition of two ...