Let V be an n-dimensional complex vector space and let L be a solveable Lie algebra of gl(V) . Then there is a basis of V in which every element of L is represented by an upper triangular matrix.
Let V be an n-dimensional complex vector space and let L be a solveable Lie algebra of gl(V) . Then there is a basis of V in which every element of L is represented by an upper triangular matrix.
This is not too hard depending upon what you know, are you aware of Dynkin's lemma? Moreover, have you checked the standard references (e.g. Humphreys or Fulton/Harris) it's in almost all of them.
This is not too hard depending upon what you know, are you aware of Dynkin's lemma? Moreover, have you checked the standard references (e.g. Humphreys or Fulton/Harris) it's in almost all of them.