FUNCTION: BnNcaMult - multiplication of two elements of the Bn-nilCoxeter algebra

CALLING SEQUENCE:

BnNcaMult(e_1, e_2)

BNA[BnNcaMult](e_1, e_2)

PARAMETERS:

e_1, e_2 = any elements of the Bn-nilCoxeter algebra

SYNOPSIS:

• The BnNcaMult function multiplies two elements of the Bn-nilCoxeter algebra.

• One can use instead the operator &!@*.

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

EXAMPLES:

> with(BNA):
> a:=t - B[1,2,1]:
> b:=q + u/t*B[0,1,2]:
> BnNcaMult(a, b);
 
                  t q B[0, 0, 0] + u B[0, 1, 2] - q B[1, 2, 1]
 
> a &!@* b;
 
                  t q B[0, 0, 0] + u B[0, 1, 2] - q B[1, 2, 1]