Quellcodebibliothek Statistik Leitseite products/Sources/formale Sprachen/GAP/pkg/liering/doc/   (Algebra von RWTH Aachen Version 4.15.1©)  Datei vom 10.1.2022 mit Größe 7 kB image not shown  

Quelle  chap0.html   Sprache: HTML

 
 products/Sources/formale Sprachen/GAP/pkg/liering/doc/chap0.html


<?xml version="1.0" encoding="UTF-8"?>

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
         "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">

<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en">
<head>
<title>GAP (LieRing) - Contents</title>
<meta http-equiv="content-type" content="text/html; charset=UTF-8" />
<meta name="generator" content="GAPDoc2HTML" />
<link rel="stylesheet" type="text/css" href="manual.css" />
<script src="manual.js" type="text/javascript"></script>
<script type="text/javascript">overwriteStyle();</script>
</head>
<body class="chap0"  onload="jscontent()">


<div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a>  <a href="chap1.html">1</a>  <a href="chap2.html">2</a>  <a href="chapBib.html">Bib</a>  <a href="chapInd.html">Ind</a>  </div>

<div class="chlinkprevnexttop"> <a href="chap0.html">[Top of Book]</a>   <a href="chap0.html#contents">[Contents]</a>    <a href="chap1.html">[Next Chapter]</a>   </div>

<p id="mathjaxlink" class="pcenter"><a href="chap0_mj.html">[MathJax on]</a></p>
<p><a id="X7D2C85EC87DD46E5" name="X7D2C85EC87DD46E5"></a></p>
<div class="pcenter">

<h1>LieRing</h1>


<h2>Computing with finitely presented Lie rings</h2>

<p>
    Version 2.4.2</p>

<p>
    10 February 2022
  </p>

</div>
<p><b>
    Serena Cicalò



  </b>
<br />Email: <span class="URL"><a href="mailto:cicalo@science.unitn.it">cicalo@science.unitn.it</a></span>
<br />Address: <br />Serena Cicalò<br /> Dipartimento di Matematica e Informatica<br /> Via Ospedale 72<br /> Italy<br />
</p><p><b>
    Willem Adriaan de Graaf



  </b>
<br />Email: <span class="URL"><a href="mailto:degraaf@science.unitn.it">degraaf@science.unitn.it</a></span>
<br />Homepage: <span class="URL"><a href="http://www.science.unitn.it/~degraaf">http://www.science.unitn.it/~degraaf</a></span>
</p>

<p><a id="X7AA6C5737B711C89" name="X7AA6C5737B711C89"></a></p>
<h3>Abstract</h3>
<p>This package provides functions for constructing and working with Lie rings. There are functions for dealing with finitely-presented Lie rings, and for performing the Lazard correspondence. The package also contains a small database of finitely-generated Lie rings satisfying an Engel condition.</p>

<p><a id="X81488B807F2A1CF1" name="X81488B807F2A1CF1"></a></p>
<h3>Copyright</h3>
<p>© 2016 Serena Cicalò and Willem de Graaf</p>

<p><a id="X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8"></a></p>

<div class="contents">
<h3>Contents<a id="contents" name="contents"></a></h3>

<div class="ContChap"><a href="chap1.html#X7DFB63A97E67C0A1">1 <span class="Heading">Introduction</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1.html#X8749E1888244CC3D">1.1 <span class="Heading">Preliminaries</span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1.html#X865892E97C9D1E6D">1.2 <span class="Heading">The free Lie ring </span></a>
</span>
</div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap1.html#X7994DA6587ABDA2D">1.3 <span class="Heading">The Lazard correspondence </span></a>
</span>
</div>
</div>
<div class="ContChap"><a href="chap2.html#X8173135A7D187358">2 <span class="Heading">The functions</span></a>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X865892E97C9D1E6D">2.1 <span class="Heading">The free Lie ring</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7E52D2B884457822">2.1-1 FreeLieRing</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X826A861E7E7D944E">2.1-2 Degree</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X7BDAF9F47EBC6C0E">2.2 <span class="Heading"> Creating Lie rings </span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X784B8B28809EAC37">2.2-1 IsLieRing</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7DEFFA797BB7E432">2.2-2 LieRingByStructureConstants</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7D58E7AB7B2788D2">2.2-3 FpLieRing</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7D2CC3FF80F73EF8">2.2-4 FpLieAlgebra</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X7876A08584CBABAE">2.3 <span class="Heading"> Working with Lie rings </span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X837BE54C80DE368E">2.3-1 Basis</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X804ADF0280F67CDC">2.3-2 StructureConstantsTable</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7BF95CA07861A1AF">2.3-3 Torsion</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X80B32F667BF6AFD8">2.3-4 Coefficients</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7BC3398686B25634">2.3-5 SubLieRing</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7E97DBD778358F19">2.3-6 LieRingIdeal</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X83D53D98809EC461">2.3-7 NaturalHomomorphismByIdeal</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7900D17E7BA26A48">2.3-8 LieLowerCentralSeries</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X790A24857D0E559A">2.3-9 LieLowerPCentralSeries</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X8111F58E7DE3E25C">2.3-10 LieCentre</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X819C15027E16E335">2.3-11 TensorWithField</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X7994DA6587ABDA2D">2.4 <span class="Heading">The Lazard correspondence</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X81FC256983DC2A94">2.4-1 PGroupToLieRing</a></span>
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7E683E5F80B27375">2.4-2 LieRingToPGroup</a></span>
</div></div>
<div class="ContSect"><span class="tocline"><span class="nocss"> </span><a href="chap2.html#X7CB9E82C84258435">2.5 <span class="Heading">The database of <span class="SimpleMath">n</span>-Engel Lie rings</span></a>
</span>
<div class="ContSSBlock">
<span class="ContSS"><br /><span class="nocss">  </span><a href="chap2.html#X7F6C2B1D82E381D0">2.5-1 SmallNEngelLieRing</a></span>
</div></div>
</div>
<div class="ContChap"><a href="chapBib.html"><span class="Heading">References</span></a></div>
<div class="ContChap"><a href="chapInd.html"><span class="Heading">Index</span></a></div>
<br />
</div>

<div class="chlinkprevnextbot"> <a href="chap0.html">[Top of Book]</a>   <a href="chap0.html#contents">[Contents]</a>    <a href="chap1.html">[Next Chapter]</a>   </div>


<div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a>  <a href="chap1.html">1</a>  <a href="chap2.html">2</a>  <a href="chapBib.html">Bib</a>  <a href="chapInd.html">Ind</a>  </div>

<hr />
<p class="foot">generated by <a href="http://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc">GAPDoc2HTML</a></p>
</body>
</html>

97%


¤ Dauer der Verarbeitung: 0.15 Sekunden  (vorverarbeitet)  ¤

*© Formatika GbR, Deutschland




Wurzel

Suchen

Beweissystem der NASA

Beweissystem Isabelle

NIST Cobol Testsuite

Cephes Mathematical Library

Wiener Entwicklungsmethode

Haftungshinweis

Die Informationen auf dieser Webseite wurden nach bestem Wissen sorgfältig zusammengestellt. Es wird jedoch weder Vollständigkeit, noch Richtigkeit, noch Qualität der bereit gestellten Informationen zugesichert.

Bemerkung:

Die farbliche Syntaxdarstellung ist noch experimentell.