Return to Answer

added 112 characters in body

Source Link

edited Mar 31, 2011 at 8:46

9.1k
3
31
43

Yes if $k=1$. No if $k>1$; the adjoint representation is a counterexample.

For the edited question: isn't the vector representation of SL(n) (and its dual) a counterexample for $k=2$?

Source Link

created Mar 30, 2011 at 6:19

9.1k
3
31
43

Yes if $k=1$. No if $k>1$; the adjoint representation is a counterexample.