FUNCTION: LieTools/gActionUg
USAGE: 
SYNOPSIS: gActionUg(i,X) returns the (induced) adjoint action of 
  the Lie alebra generator g[i] on an element X of U[g] 
CAVEATS: requires a previously initialized global Lie algebra environment.
  (See LieTools[gSetup].)
EXAMPLE: 
> LieTools[gSetup](G,2);
Setting up Gtype = G   rnk = 2
> LieTools[gActionUg](1,u(g[14],g[14]));

            u(g[1], g[14], g[14]) - u(g[14], g[14], g[1])

> LieTools[gActionUg](g[1],u(g[14],g[14]));

            u(g[1], g[14], g[14]) - u(g[14], g[14], g[1])

> LieTools[gActionUg](g[7]+g[8],u(g[14],g[14]));

  u(g[7], g[14], g[14]) - u(g[14], g[14], g[7])

         + u(g[8], g[14], g[14]) - u(g[14], g[14], g[8])

SEE ALSO: 
