FUNCTION: BnIdcaMult - multiplication of two elements of the Bn-idCoxeter algebra

CALLING SEQUENCE:

BnIdcaMult(e_1, e_2)

BNA[BnIdcaMult](e_1, e_2)

PARAMETERS:

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

SYNOPSIS:

• The BnIdcaMult function multiplies two elements of the Bn-idCoxeter algebra.

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

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

EXAMPLES:

> with(BNA):
> a:=t - B[1,2,1]:
> b:=q + u/t*B[0,1,2]:
> BnIdcaMult(a, b);
 
                                                      u B[1, 3, 2]
       t q B[0, 0, 0] + u B[0, 1, 2] - q B[1, 2, 1] + ------------
                                                            t
 
> a &!$* b;
 
                                                      u B[1, 3, 2]
       t q B[0, 0, 0] + u B[0, 1, 2] - q B[1, 2, 1] + ------------
                                                            t