Talk:Complete homogeneous symmetric polynomial

I would be glad to see a complete proof outline of the main theorem (c.h. polynomials are an algebraic basis for all symmetric polynomials over any commutative ring, or whatever) written in here, similarly to elementary symmetric polynomials. Zaslav 01:10, 26 March 2007 (UTC)

Complete (homogeneous) symmetric polynomial

I think here and elsewhere we should change the term "complete homogeneous symmetric polynomial" to "complete symmetric polynomial" because:

1) Mac Donald uses the term "complete symmetric function", not "complete homogeneous symmetric function" in the important reference Symmetric Functions and Hall Polynomials

2) Yes, these symmetric polynomials are homogeneous, but so are the power sum symmetric polynomials and elementary symmetric polynomials, and I don't think Wikipedia includes the word "homogeneous" in their names.

Is there a reason we should keep the word "homogeneous"?

John Baez (talk) 14:35, 2 August 2024 (UTC)