SymmetricPolynomials -- the algebra of symmetric polynomials

Description

This package uses an explicit description of the Groebner basis of the ideal of obvious relations in this algebra based on:

Grayson, Stillmann - Computations in the intersection theory of flag varieties, preprint, 2009

Sturmfels - Algorithms in Invariant Theory, Springer Verlag, Vienna, 1993

Author

Alexandra Seceleanu

Version

This documentation describes version 1.0 of SymmetricPolynomials.

Citation

If you have used this package in your research, please cite it as follows:

@misc{SymmetricPolynomialsSource,
  title = {{SymmetricPolynomials: A \emph{Macaulay2} package. Version~1.0}},
  author = {Alexandra Seceleanu},
  howpublished = {A \emph{Macaulay2} package available at
    \url{https://github.com/Macaulay2/M2/tree/master/M2/Macaulay2/packages}}
}

Exports

Functions and commands
- buildSymmetricGB -- Groebner basis of elementary symmetric polynomials algebra
- elementarySymmetric -- expression in terms of elementary symmetric polynomials
Methods
- buildSymmetricGB(PolynomialRing) -- Groebner basis of elementary symmetric polynomials algebra
- elementarySymmetric(PolynomialRing) -- elementary symmetric polynomials algebra
- elementarySymmetric(RingElement) -- expression in terms of elementary symmetric polynomials

For the programmer

The object SymmetricPolynomials is a package, defined in SymmetricPolynomials.m2.

The source of this document is in SymmetricPolynomials.m2:91:0.