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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.

0 votes
1 answer
103 views

Lie group action on a finite dimensional flat manifold

Consider a finite dimensional flat Riemannian manifold $M$ quotiented by an action of a finite dimensional Lie group $G$, giving rise to the quotient $Q$. First, assume that the action is isometric. …
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4 votes
2 answers
262 views

An algorithm to compare two representations of a simple Lie algebra?

I have two representations of a simple (complex or real) finite-dimensional Lie algebra $S$, both given in terms of their structure constants on a given basis. the first one is the adjoint represent …
Nina's user avatar
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