FUNCTION: LieTools/SgMkRepUnBasis
USAGE: SgMkRepUnBasis(hfw):
SYNOPSIS: SgMkRepUnBasis(hfw) will find a basis for a finite dimensional 
  representation of g with highest weight rhw, expressed in terms of sequences
  of the indices of the negative simple roots. For example, if one of the
  sequences produced is [6,5,4], there would be a basis vector of the form
           [g[4],[g[5],g[6]]] |hfw>
  in the corresponding representation. In other words, the sequences correspond
  to sequences of simple lowering operators that take the highest weight to a
  particular basis vector of fixed weight. This basis is useful in constructing
  basis for a representation that is independent of its particular realization
  (e.g. as a submodule of S(g), or U(g), or C[n], ...).
CAVEATS: requires a previously initialized global Lie algebra environment.
  (See LieTools[gSetup].)
EXAMPLE: 
> with(LieTools):gSetup(G,2):
Setting up Gtype = G   rnk = 2
> SgMkRepUnBasis([1,0]);

  [[], [6], [6, 5], [6, 5, 6], [6, 5, 6, 6], [6, 5, 6, 6, 5],

        [6, 5, 6, 6, 5, 6]]

SEE ALSO: 
