<?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>SchurFunctors -- for computing Schur functors</title> <link rel="stylesheet" type="text/css" href="../../../../Macaulay2/Style/doc.css"/> </head> <body> <table class="buttons"> <tr> <td><div><a href="_augment__Filling.html">next</a> | previous | <a href="_augment__Filling.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>SchurFunctors -- for computing Schur functors</h1> <div><!--empty documentation body--></div> <div class="single"><h2>Authors</h2> <ul><li><div class="single"><a href="http://www.math.cornell.edu/~mike">Michael E. Stillman</a><span> <<a href="mailto:mike@math.cornell.edu">mike@math.cornell.edu</a>></span></div> </li> <li><div class="single">Anton Leykin</div> </li> <li><div class="single">Mauricio Velasco</div> </li> </ul> </div> <div class="single"><h2>Version</h2> This documentation describes version <b>0.1</b> of SchurFunctors.</div> <div class="single"><h2>Source code</h2> The source code from which this documentation is derived is in the file <a href="../../../../Macaulay2/SchurFunctors.m2">SchurFunctors.m2</a>. The auxiliary files accompanying it are in the directory <a href="../../../../Macaulay2/SchurFunctors/">SchurFunctors/</a>.</div> <div class="single"><h2>Exports</h2> <ul><li><div class="single">Types<ul><li><span><tt>Filling</tt> (missing documentation<!-- tag: Filling -->)</span></li> </ul> </div> </li> <li><div class="single">Functions<ul><li><span><tt>augmentFilling</tt> (missing documentation<!-- tag: augmentFilling -->)</span></li> <li><span><a href="_character.html" title="Determines the character of a compostion of schur functors applied to the representation of GL(V) on V">character</a> -- Determines the character of a compostion of schur functors applied to the representation of GL(V) on V</span></li> <li><span><tt>characterRep</tt> (missing documentation<!-- tag: characterRep -->)</span></li> <li><span><tt>decomposeRep</tt> (missing documentation<!-- tag: decomposeRep -->)</span></li> <li><span><tt>printSchurModuleElement</tt> (missing documentation<!-- tag: printSchurModuleElement -->)</span></li> <li><span><a href="_schur.html" title="creates a map between Schur modules">schur</a> -- creates a map between Schur modules</span></li> <li><span><a href="_schur__Module.html" title="creates Schur module from a partition and free module">schurModule</a> -- creates Schur module from a partition and free module</span></li> <li><span><a href="_schur__Modules__Map.html" title="creates a map between two Schur modules via the specified function.">schurModulesMap</a> -- creates a map between two Schur modules via the specified function.</span></li> <li><span><a href="_split__Character.html" title="Decomposes a symmetric polynomial as a sum of schur functions">splitCharacter</a> -- Decomposes a symmetric polynomial as a sum of schur functions</span></li> <li><span><a href="_straighten.html" title="Given a tableau of shape lambda express it as a linear combination of SST in the given schur Module">straighten</a> -- Given a tableau of shape lambda express it as a linear combination of SST in the given schur Module</span></li> </ul> </div> </li> <li><div class="single">Methods<ul><li><span><tt>augmentFilling(Filling,ZZ,ZZ)</tt> (missing documentation<!-- tag: (augmentFilling,Filling,ZZ,ZZ) -->)</span></li> <li><span><tt>Filling ? Filling</tt> (missing documentation<!-- tag: (?,Filling,Filling) -->)</span></li> <li><span><tt>Filling _ List</tt> (missing documentation<!-- tag: (_,Filling,List) -->)</span></li> <li><span>straighten(Filling,Module), see <span><a href="_straighten.html" title="Given a tableau of shape lambda express it as a linear combination of SST in the given schur Module">straighten</a> -- Given a tableau of shape lambda express it as a linear combination of SST in the given schur Module</span></span></li> </ul> </div> </li> <li><div class="single">Symbols<ul><li><span><tt>Schur</tt> (missing documentation<!-- tag: Schur -->)</span></li> </ul> </div> </li> </ul> </div> </div> </body> </html>