FUNCTION: SgaAdd - sum of two elements of the symmetric group algebra

CALLING SEQUENCE:

SgaAdd(e_1, e_2)

SGA[SgaAdd](e_1, e_2)

PARAMETERS:

e_1, e_2 = any elements of the symmetric group algebra

SYNOPSIS:

• The SgaAdd function adds two elements of the symmetric group algebra.

• One can use instead the operator &!+.

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

EXAMPLES:

> with(SGA):
> a:=q + u/t*A[3,1,2]:
> b:=t - A[1,3,2]:
> SgaAdd(a, b);
 
                              u A[3, 1, 2]
               - A[1, 3, 2] + ------------ + (q + t) A[1, 2, 3]
                                    t
 
> a &!+ b;
 
                              u A[3, 1, 2]
               - A[1, 3, 2] + ------------ + (q + t) A[1, 2, 3]
                                    t