<?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>straighten -- Given a tableau of shape lambda express it as a linear combination of SST in the given schur Module</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div>next | <a href="_split__Character.html">previous</a> | forward | <a href="_split__Character.html">backward</a> | up | <a href="index.html">top</a> | <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>straighten -- Given a tableau of shape lambda express it as a linear combination of SST in the given schur Module</h1> <div class="single"><h2>Synopsis</h2> <ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>straighten(T,M)</tt></div> </dd></dl> </div> </li> <li><div class="single">Inputs:<ul><li><span><tt>T</tt>, <span>an object of class <tt>Filling</tt> (missing documentation<!-- tag: Filling -->)</span>, Any filling with shape mu and entries between 0 and rank(E)-1.</span></li> <li><span><tt>M</tt>, <span>a <a href="../../Macaulay2Doc/html/___Module.html">module</a></span>, A Schur module of the form S<sub>mu</sub>(E) for some partition mu.</span></li> </ul> </div> </li> <li><div class="single">Outputs:<ul><li><span><tt>filling => </tt><span><tt>T2</tt>, <span>a <a href="../../Macaulay2Doc/html/___Vector.html">vector</a></span></span></span></li> </ul> </div> </li> </ul> </div> <div class="single"><h2>Description</h2> <div><div>A linear combination of semistandard tableaux representing T in M.</div> <table class="examples"><tr><td><pre>i1 : bla o1 = bla o1 : Symbol</pre> </td></tr> </table> </div> </div> <div class="single"><h2>Caveat</h2> <div><div>The function F should output lists of pairs where the second component is a filling of the partition corresponding to N.</div> </div> </div> <div class="single"><h2>See also</h2> <ul><li><span><a href="_schur.html" title="creates a map between Schur modules">schur</a> -- creates a map between Schur modules</span></li> </ul> </div> <div class="waystouse"><h2>Ways to use <tt>straighten</tt> :</h2> <ul><li>straighten(Filling,Module)</li> </ul> </div> </div> </body> </html>