HELP FOR: A package on Classical Lie Groups.

CALLING SEQUENCE:

CG[<function>](args)

<function>(args)

SYNOPSIS:

• This package provides functions to work with classical Lie groups.

• Two extra bases of the ring of symmetric functions are provided. They are stored in the global variable CGBases := {'O', 'Sp'} and correspond to the orthogonal and the symplectic Schur function bases.

• The available functions are:

  CgMultiplicity	CgPositiveRoots	CgRho	CgSchurSeries
  O2s	ODimRep	OJtMat	Sp2s
  SpDimRep	SpJtMat	ToO	ToSp

• For help with a particular function do either ?CG[<function>] or ?CG,<function> where <function> is one from the above list.

EXAMPLES:

> with(CG):
> ToO(s[2,1]*O[3]);
 
   O[1, 1] + O[5, 1] + 3 O[3, 1] + 2 O[4] + 2 O[2] + O[4, 2] + O[2, 2]
 
              + O[4, 1, 1] + O[2, 1, 1] + O[3, 2, 1]