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Results tagged with lie-groups
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user 7538
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
1
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module of sections of the horizontal bundle
For those who are interested I give here a slightly more detailed version of Michael's answer.
First note that $T\pi|_{HP} \colon HP \to TB$ is a vector bundle map covering $\pi \colon P \to B$ and a …
- 1,222
1
vote
2
answers
655
views
module of sections of the horizontal bundle
Some times ago I posted this question here. There I carelessly assumed that if you have a set of sections of a vector bundle which span every fiber pointwise, they also generate the module of smooth s …
- 1,222
6
votes
1
answer
974
views
Lie algebras and complements
I have some elementary questions about Lie algebras and vector space complements.
Let $(\mathfrak{g},[.,.])$ be a finite-dimensional Lie algebra and $\mathfrak{g}_1$ a Lie ideal in $\mathfrak{g}$.
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