Talk:Cartan subalgebra

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Added the ``full" definition including the nilpotency property. In the semisimple case the df is as previous versions. Not too sure if too much more can be added without encroaching into other aspects already covered in existing pages on Lie algebras. Dmaher 09:56, 1 June 2006 (UTC)

Changed ``eigenspace of the zero weight vector is itself" to ``the centralizer of ", as this is more generally true (See Humphreys 35). The two don't always coincide (though they do in the cases Humphreys considers, when char F = 0).

The sentence was about the case of algebrically closed fields of characteristic 0 (though this condition was only given somewhat ambiguously in the previous paragraph). I have added the condition explicitly to make things clear. (Without this condition the sentence is completely wrong even with your correction.) R.e.b. 18:05, 12 June 2006 (UTC)