FUNCTION: TosA - develop any symmetric function on the s-basis

CALLING SEQUENCE:

TosA(sfa)

TosA(sfa, alist)

SFA[TosA](sfa)

SFA[TosA](sfa, alist)

PARAMETERS:

sfa = any valid expression in SFA

alist = a list of alphabets

SYNOPSIS:

• The TosA function analyses sfa and develops any symmetric function in SFA on the linear basis of Schur functions.

• One can develop only symmetric functions of which alphabets are given in the optional argument.

• Whenever there is a conflict between the function name TosA and another name used in the same session, use the long form SFA['TosA'].

EXAMPLES:

> with(SFA):
> TosA( h[4,3](2*A1) );
 
           s[4, 3](2 A1) + s[5, 2](2 A1) + s[6, 1](2 A1) + s[7](2 A1)
 
> TosA( s[3,1](2*A1)*m[2,1](A2^2), [ A2^2, A3 ] );
 
                                  2                                 2
          s[3, 1](2 A1) s[2, 1](A2 ) - 2 s[3, 1](2 A1) s[1, 1, 1](A2 )
 
> TosA( s[4]( p[4,3](2*A1) )^2 + q*p[2](A2),  [ p[4,3](2*A1) ] );
 
     s[8](p[4, 3](2 A1)) + s[7, 1](p[4, 3](2 A1)) + s[6, 2](p[4, 3](2 A1))
 
          + s[5, 3](p[4, 3](2 A1)) + s[4, 4](p[4, 3](2 A1)) + q p[2](A2)