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
Attachment:- assignment-2.pdf