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<!DOCTYPE html> <html lang="en"> <head> <title>actors -- group elements of an action</title> <meta content="text/html; charset=utf-8" http-equiv="Content-Type"> <link type="text/css" rel="stylesheet" href="../../../../Macaulay2/Style/doc.css"> <link rel="stylesheet" href="../../../../Macaulay2/Style/katex/katex.min.css"> <script defer="defer" src="../../../../Macaulay2/Style/katex/katex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/auto-render.min.js"></script> <script> var macros = { "\\break": "\\\\", "\\ZZ": "\\mathbb{Z}", "\\NN": "\\mathbb{N}", "\\QQ": "\\mathbb{Q}", "\\RR": "\\mathbb{R}", "\\CC": "\\mathbb{C}", "\\PP": "\\mathbb{P}" }, delimiters = [ { left: "$$", right: "$$", display: true}, { left: "\\[", right: "\\]", display: true}, { left: "$", right: "$", display: false}, { left: "\\(", right: "\\)", display: false} ], ignoredTags = [ "kbd", "var", "samp", "script", "noscript", "style", "textarea", "pre", "code", "option" ]; document.addEventListener("DOMContentLoaded", function() { renderMathInElement(document.body, { delimiters: delimiters, macros: macros, ignoredTags: ignoredTags, trust: true }); }); </script> <style>.katex { font-size: 1em; }</style> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/copy-tex.min.js"></script> <script defer="defer" src="../../../../Macaulay2/Style/katex/contrib/render-a11y-string.min.js"></script> <script src="../../../../Macaulay2/Style/prism.js"></script> <script>var current_version = '1.25.06';</script> <script src="../../../../Macaulay2/Style/version-select.js"></script> <link type="image/x-icon" rel="icon" href="../../../../Macaulay2/Style/icon.gif"> </head> <body> <div id="buttons"> <div> <a href="https://macaulay2.com/">Macaulay2</a> <span id="version-select-container"></span> » <a title="Macaulay2 documentation" href="../../Macaulay2Doc/html/index.html">Documentation </a> <br><a href="../../Macaulay2Doc/html/_packages_spprovided_spwith_sp__Macaulay2.html">Packages</a> » <span><a title="finite group characters on free resolutions and graded modules" href="index.html">BettiCharacters</a> » <a title="group elements of an action" href="_actors.html">actors</a></span> </div> <div class="right"> <form method="get" action="https://www.google.com/search"> <input placeholder="Search" type="text" name="q" value=""> <input type="hidden" name="q" value="site:macaulay2.com/doc"> </form> <a href="_character.html">next</a> | <a href="_action.html">previous</a> | <a href="_actors_lp__Action__On__Complex_cm__Z__Z_rp.html">forward</a> | <a href="___Sub.html">backward</a> | <a href="index.html">up</a> | <a href="master.html">index</a> | <a href="toc.html">toc</a> </div> </div> <hr> <div> <h1>actors -- group elements of an action</h1> <div> <h2>Description</h2> <div> <p>This method is used to return lists of matrices representing the action of group elements on the graded components of a module or on the terms of a minimal free resolution. See the specific use cases for more details.</p> </div> </div> <div> <h2>See also</h2> <ul> <li><span><a title="define finite group action" href="_action.html">action</a> -- define finite group action</span></li> </ul> </div> <div> <h3>Menu</h3> <ul> <li><span><a title="group elements of action on resolution" href="_actors_lp__Action__On__Complex_cm__Z__Z_rp.html">actors(ActionOnComplex,ZZ)</a> -- group elements of action on resolution</span></li> <li><span><a title="group elements acting on components of a module" href="_actors_lp__Action__On__Graded__Module_cm__List_rp.html">actors(ActionOnGradedModule,List)</a> -- group elements acting on components of a module</span></li> <li><span><a title="get inverse of action on ring generators" href="_inverse__Ring__Actors.html">inverseRingActors</a> -- get inverse of action on ring generators</span></li> <li><span><a title="number of acting elements" href="_num__Actors.html">numActors</a> -- number of acting elements</span></li> </ul> </div> <div> <div class="waystouse"> <h2>Ways to use <span class="tt">actors</span>:</h2> <ul> <li><span><a title="group elements of action on resolution" href="_actors_lp__Action__On__Complex_cm__Z__Z_rp.html">actors(ActionOnComplex,ZZ)</a> -- group elements of action on resolution</span></li> <li><span><a title="group elements acting on components of a module" href="_actors_lp__Action__On__Graded__Module_cm__List_rp.html">actors(ActionOnGradedModule,List)</a> -- group elements acting on components of a module</span></li> <li><span><kbd>actors(ActionOnGradedModule,ZZ)</kbd> -- see <span><a title="group elements acting on components of a module" href="_actors_lp__Action__On__Graded__Module_cm__List_rp.html">actors(ActionOnGradedModule,List)</a> -- group elements acting on components of a module</span></span></li> </ul> </div> <div class="waystouse"> <h2>For the programmer</h2> <p>The object <a title="group elements of an action" href="_actors.html">actors</a> is <span>a <a title="a type of method function" href="../../Macaulay2Doc/html/___Method__Function.html">method function</a></span>.</p> </div> <hr> <div class="waystouse"> <p>The source of this document is in <span class="tt">BettiCharacters.m2:2846:0</span>.</p> </div> </div> </div> </body> </html>