Re: Lie algebra decomposition

On 03-11-2006 12:56, Eduardo Suárez wrote:

I don't know much about Lie algebras. Is there a way to extract all Lie subalgebras from one of finite dimension (or extract Lie subgroups of a Lie Group)? Does this question make sense?

It makes sense, yes. For instance, consider the problem: which are the
Lie subalgebras of the Lie algebra so(3,R) of all anti-symmetric 3 x 3
real matrices? The answer is: none besides the obvious ones: {0}, those
of the form R.M for some M in so(3,R) and so(3,R) iteself. But I am
aware of no algorithm to solve this problem in the general case.

Best regards,

Jose Carlos Santos
.

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