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Results tagged with lie-groups
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user 4366
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
0
votes
Killing form vs its counterpart in a given represenation
These two forms are proportional provided $\mathfrak{g}$ is simple. For the semi-simple case, you can rescale on each of the simple factors.
- 1,472
2
votes
How do I stop worrying about root systems and decomposition theorems (for reductive groups)?
I don't really understand what you are asking for. Root systems are geometric objects associated to finite reflection groups. Try reading Jim Humphrey's "Reflection Groups and Coxeter Groups" for a ve …
- 1,472