FUNCTION: HekaMult - multiplication of two elements of the Hecke algebra

CALLING SEQUENCE:

HekaMult(e_1, e_2)

HEKA[HekaMult](e_1, e_2)

PARAMETERS:

e_1, e_2 = any elements of the Hecke algebra

SYNOPSIS:

• The HekaMult function multiplies two elements of the Hecke algebra.

• One can use instead the operator &?*.

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

EXAMPLES:

> with(HEKA):
> a:=q + u/t*A[3,1,2]:
> b:=t*A[2,1,3] - A[1,3,2]:
> HekaMult(a, b);
 
         u A[3, 2, 1]
       - ------------ + (- q - q1 q2 u) A[1, 3, 2] + q t A[2, 1, 3]
               t
 
            + (q1 u + q2 u) A[3, 1, 2]
 
> a &?* b;
 
         u A[3, 2, 1]
       - ------------ + (- q - q1 q2 u) A[1, 3, 2] + q t A[2, 1, 3]
               t
 
            + (q1 u + q2 u) A[3, 1, 2]