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Determine structure constants relative to the standard basis

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Question 1. Let L be the real vector space R3. Given x; y 2 L, dene [x; y] := x y; where denotes the usual cross product of vectors. Sow that L is a Lie algebra and determine structure constants relative to the standard basis for R3.

Question 2. Let be a derivation of the Lie algebra L. Show that if commutes with every inner derivation, then (L) C(L); where C(L) denotes the centre of L. Q

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Reference no: EM13275947

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