<?xml version="1.0" encoding="utf-8" ?> <!-- for emacs: -*- coding: utf-8 -*- --> <!-- Apache may like this line in the file .htaccess: AddCharset utf-8 .html --> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.1 plus MathML 2.0 plus SVG 1.1//EN" "http://www.w3.org/2002/04/xhtml-math-svg/xhtml-math-svg-flat.dtd" > <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head><title>SymmetricPolynomials -- the algebra of symmetric polynomials</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_build__Symmetric__G__B.html">next</a> | previous | <a href="_build__Symmetric__G__B.html">forward</a> | backward | up | top | <a href="master.html">index</a> | <a href="toc.html">toc</a> | <a href="http://www.math.uiuc.edu/Macaulay2/">Macaulay2 web site</a></div> </td> </tr> </table> <hr/> <div><h1>SymmetricPolynomials -- the algebra of symmetric polynomials</h1> <div class="single"><h2>Description</h2> <div><p>This package uses an explicit description of the Groebner basis of the ideal of obvious relations in this algebra based on:</p> <p>Grayson, Stillmann - Computations in the intersection theory of flag varieties, preprint, 2009</p> <p>Sturmfels - Algorithms in Invariant Theory, Springer Verlag, Vienna, 1993</p> </div> </div> <div class="single"><h2>Author</h2> <ul><li><div class="single"><a href="http://www.math.uiuc.edu/~asecele2/">Alexandra Seceleanu</a></div> </li> </ul> </div> <div class="single"><h2>Version</h2> This documentation describes version <b>1.0</b> of SymmetricPolynomials.</div> <div class="single"><h2>Source code</h2> The source code from which this documentation is derived is in the file <a href="../../../../Macaulay2/SymmetricPolynomials.m2">SymmetricPolynomials.m2</a>.</div> <div class="single"><h2>Exports</h2> <ul><li><div class="single">Functions<ul><li><span><a href="_build__Symmetric__G__B.html" title="Groebner basis of elementary symmetric polynomials algebra">buildSymmetricGB</a> -- Groebner basis of elementary symmetric polynomials algebra</span></li> <li><span><a href="_elementary__Symmetric.html" title="expression in terms of elementary symmetric polynomials">elementarySymmetric</a> -- expression in terms of elementary symmetric polynomials</span></li> </ul> </div> </li> </ul> </div> </div> </body> </html>