How can I use the root-space-decomposition of the Symplectic Lie-algebra, as it appears here: link text
in order to prove that this Lie-algebra is simple?
I'm mainly interested in the cases l=2,4 .
Any help will be greatfuly acknowledged.
closed as too localized by Yemon Choi, Bill Johnson, Theo Johnson-Freyd, S. Carnahan♦ Jan 15 2012 at 3:18