FUNCTION: LieTools/fwgt2CW 
USAGE: fwgt2CW(fwgt,Gt); fwgt2CW(fwgt); fwgt2CW(fwgt,Gtype,rnk);
SYNOPSIS: fwgt2CW(fwgt,Gt) returns a linear expression of the form
      3*e1 + 2*e2 + cdots
  (the way the Coxeter/Weyl package expresses weights) corresponding
  to a weight fwgt expressed in terms of its components with respect 
  to the basis of fundamental weights of Gt. 
  fwgt2CW called with a single argument, fwgt, does the same thing but
  requires a previously initialized global Lie algebra environment. (See 
  LieTools[gSetup].)  

  CW2fwgt is the inverse of fwgt2CW.


EXAMPLE: 
fw := [1,1];
                             fw := [1, 1]

> cw := LieTools[fwgt2CW](fw,G2);

                       cw := -e1 - 2 e2 + 3 e3

> LieTools[CW2fwgt](cw,G2);

                                [1, 1]


SEE ALSO: LieTools[CW2fwgt], LieTools[CW2swgt], LieTools[swgt2CW],  LieTools[fwgt2swgt],
          LieTools[swgt2fwgt]   
 
