This package implements different bases of the algebra of multivariate polynomials using SageMath. This work has been started in 2010 and was distriuted in the Sage-combinat experimental package which does not exist anymore. That is why we know offer it as an extra Sage package.
sage 9.
$ sage -pip install multipolynomial_bases
Download the source from the github and run this command from the repo root:
$ sage -pip install --upgrade --no-index -v .
Equivalently, you can use the Makefile install command:
$ make install
Once installed, you can use it in sage by importing the features:
sage: from multipolynomial_bases import *
sage: A.<x> = MultivariatePolynomialAlgebra(QQ)
sage: A
The Multivariate polynomial algebra on x over Rational Field
The (partially written) documentation is available here.