FUNCTION: x2m_n - from the basis of monomials to monomial symmetric function basis

CALLING SEQUENCE:

x2m_n(pol)

CLG[x2m_n](pol)

PARAMETERS:

pol = any expanded polynomial in x1, x2, ... (assumed to be symmetrical)

SYNOPSIS:

• The x2m_n function converts any symmetric polynomial into a linear combination of monomial symmetric functions in _CLGn variables. It is assumed that pol is symmetric in the variables x1, x2, ..., x.(_CLGn).

• Whenever there is a conflict between the function name x2m_n and another name used in the same session, use the long form CLG['x2m_n'].

EXAMPLES:

> with(CLG):
> CLG_n(3):
> x2m_n( expand( (1+x1) * (1+x2) * (1+x3) ) );
 
                       1 + m[1] + m[1, 1] + m[1, 1, 1]