Are Matching Commutation Relations Enough to Prove Lie Algebra Isomorphism?

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Thread starter parton
Start date Nov 17, 2012
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parton

Thread starter
Nov 17, 2012

Hi!

I just need a "yes" or "no" answer.

If i have to show that two lie algebras are isomorphic,
is it sufficient to show that their generators fulfill the same commutation relations?

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Fredrik

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Nov 17, 2012

Yes. It's not hard to prove this, so I recommend it as an exercise.

parton

Nov 18, 2012

Ok, Thanks!

Are Matching Commutation Relations Enough to Prove Lie Algebra Isomorphism?

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Are Matching Commutation Relations Enough to Prove Lie Algebra Isomorphism?

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