FUNCTION: SgaMult - multiplication of two elements of the symmetric group algebra

CALLING SEQUENCE:

SgaMult(e_1, e_2)

SGA[SgaMult](e_1, e_2)

PARAMETERS:

e_1, e_2 = any elements of the symmetric group algebra

SYNOPSIS:

• The SgaMult function multiplies two elements of the symmetric group algebra.

• One can use instead the operator &!*.

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

EXAMPLES:

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