FUNCTION: IdcaAdd - sum of two elements of the idCoxeter algebra

CALLING SEQUENCE:

IdcaAdd(e_1, e_2)

IDCA[IdcaAdd](e_1, e_2)

PARAMETERS:

e_1, e_2 = any elements of the idCoxeter algebra

SYNOPSIS:

• The IdcaAdd function adds two elements of the idCoxeter algebra.

• One can use instead the operator &$+.

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

EXAMPLES:

> with(IDCA):
> a:=q + u/t*A[3,1,2]:
> b:=t - A[1,3,2]:
> IdcaAdd(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