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href="chap1.html" >1</a> <a href="chap2.html" >2</a> <a href="chap3.html" >3</a> <a href="chap4.html" >4</a> <a href="chap5.html" >5</a> <a href="chap6.html" >6</a> <a href="chap7.html" >7</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 >"mathjaxlink" class="pcenter" ><a href="chap0_mj.html" >[MathJax on]</a></p>"X7D2C85EC87DD46E5" name="X7D2C85EC87DD46E5" ></a></p>div class="pcenter" >h1 >MajoranaAlgebras</h1 >div >br />Email: <span class="URL" ><a href="mailto:markus.pfeiffer@st-andrews.ac.uk" >markus.pfeiffer@st-andrews.ac.uk</a></span >br />Homepage: <span class="URL" ><a href="https://markusp.morphism.de/ " >https://markusp.morphism.de/</a></span >br />Email: <span class="URL" ><a href="mailto:mlw10@ic.ac.uk" >mlw10@ic.ac.uk</a></span >br />Homepage: <span class="URL" ><a href="https://madeleinewhybrow.wordpress.com " >https://madeleinewhybrow.wordpress.com</a></span >br />Address : <br />Department of Mathematics, Imperial College, South Kensington, SW7 2AZ<br />"X81488B807F2A1CF1" name="X81488B807F2A1CF1" ></a></p>strong class="pkg" >MajoranaAlgebras</strong > package is free software; you can redistribute it and/or modify it under the terms of the <span class="URL" ><a href="https://www.fsf.org/licenses/gpl.html " >GNU General Public License</a></span > as published by the Free Software Foundation; either version 2 of the License, or (at your option ) any later version.</p>"X8537FEB07AF2BEC8" name="X8537FEB07AF2BEC8" ></a></p>div class="contents" >"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#X840C49F287F4C385" >1.1 <span class="Heading" >A quick guide</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X81C7E9D57969211C" >1.2 <span class="Heading" >Understanding the output </span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap1.html#X79EF8C857EA0E22B" >1.3 <span class="Heading" >Info levels</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap1.html#X824D39948644EB03" >1.3-1 InfoMajorana</a></span >div ></div >div >div class="ContChap" ><a href="chap2.html#X879CF99D7A9D77ED" >2 <span class="Heading" >Shapes of a Majorana representation</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap2.html#X809C94E778B04047" >2.1 <span class="Heading" >The shapes functions</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7AEAA41E813BB13C" >2.1-1 ShapesOfMajoranaRepresentation</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7873676E79F8D08B" >2.1-2 ShapesOfMajoranaRepresentationAxiomM8</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X8740DD5585713A26" >2.1-3 MAJORANA_IsSixTranspositionGroup</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap2.html#X7922BE3C7961F33D" >2.1-4 MAJORANA_RemoveDuplicateShapes</a></span >div ></div >div >div class="ContChap" ><a href="chap3.html#X7B5CADA77CC27BB0" >3 <span class="Heading" >Majorana representations</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X80ABA2918548E108" >3.1 <span class="Heading" >The main function</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X7F601CB47EBEAA6A" >3.1-1 MajoranaRepresentation</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap3.html#X85C2A4B97D4B47D0" >3.2 <span class="Heading" >The n-closed function</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap3.html#X8155D0F98405BD1E" >3.2-1 NClosedMajoranaRepresentation</a></span >div ></div >div >div class="ContChap" ><a href="chap4.html#X7A7065EB795C13B3" >4 <span class="Heading" >Functions for calculating with Majorana representations</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X7D4417837D9EA89A" >4.1 <span class="Heading" >Calculating products</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X8115D9E47F601DB2" >4.1-1 MAJORANA_AlgebraProduct</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X8545997F7E52FE1B" >4.1-2 MAJORANA_InnerProduct</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X85B9E746807414FF" >4.2 <span class="Heading" >Basic functions</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X7B229A8480CD11D3" >4.2-1 MAJORANA_IsComplete</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X82D60F67810C6918" >4.2-2 MAJORANA_Dimension</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X79B8FEDC80748937" >4.2-3 MAJORANA_Eigenvectors</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X79FD73207DA6125F" >4.2-4 MAJORANA_Basis</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X7CEDE1DE82115F38" >4.2-5 MAJORANA_AdjointAction</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap4.html#X79716CB683A678A7" >4.3 <span class="Heading" >The subalgebra structure</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X85DC61987ED3A345" >4.3-1 MAJORANA_Subalgebra</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap4.html#X81AE43B17B7020A3" >4.3-2 MAJORANA_IsJordanAlgebra</a></span >div ></div >div >div class="ContChap" ><a href="chap5.html#X7CB84E157B2F902D" >5 <span class="Heading" >Functions for testing Majorana representations</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X80ABA2918548E108" >5.1 <span class="Heading" >The main function</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X867D4BF17C730633" >5.1-1 MajoranaAlgebraTest</a></span >div ></div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap5.html#X87C3D1B984960984" >5.2 <span class="Heading" >Other functions</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7AD4DBC27DB539EF" >5.2-1 MAJORANA_TestFrobeniusForm</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7E3499067808B4A0" >5.2-2 MAJORANA_TestInnerProduct</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X7CB2F52386F07B68" >5.2-3 MAJORANA_TestAxiomM2</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap5.html#X85DFEF167A236627" >5.2-4 MAJORANA_TestPrimitivity</a></span >div ></div >div >div class="ContChap" ><a href="chap6.html#X7E210A267E85D052" >6 <span class="Heading" >Orbital Structures</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap6.html#X7A489A5D79DA9E5C" >6.1 <span class="Heading" >Examples</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X7DE994FE7D595E0C" >6.1-1 IsOrbitalStructure</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X86F56EAD87C74596" >6.1-2 OrbitalStructure</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X87395C8C8592FF00" >6.1-3 OS_OrbitRepresentative</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X79BD0DBA7B72D4C9" >6.1-4 OS_CanonisingElement</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X815676077CFC8CF4" >6.1-5 OS_CanonisingElementAndRepresentative</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X7CC301797B101011" >6.1-6 OS_StabilizerOf</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X7F2D94D9870E46B9" >6.1-7 OrbitalRepresentative</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X8595D3EA85AA992F" >6.1-8 AllOrbitalRepresentatives</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X7CDB09DF87DD88C5" >6.1-9 OrbitalCanonizingElement</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X79D2C53084F773B2" >6.1-10 OrbitalCanonizingElementInverse</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X81A62A257FAC1BC7" >6.1-11 OrbitalTransversalIterator</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X7FDDCFB078F55048" >6.1-12 UnorderedOrbitalRepresentative</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X79E001B18591F1AE" >6.1-13 AllUnorderedOrbitalRepresentatives</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X78ABE8E9844AC143" >6.1-14 UnorderedOrbitalTransversalIterator</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X7FA8E4BE7F8F47DD" >6.1-15 UnorderedOrbitalCanonizingElement</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap6.html#X82CAF97C7AE60FA4" >6.1-16 UnorderedOrbitalCanonizingElementInverse</a></span >div ></div >div >div class="ContChap" ><a href="chap7.html#X847F187C7DA356AA" >7 <span class="Heading" >Signed Permutations</span ></a>div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap7.html#X828866AB7AE9C0CC" >7.1 <span class="Heading" >Different Representations</span ></a>span >div >div class="ContSect" ><span class="tocline" ><span class="nocss" > </span ><a href="chap7.html#X8598044F844BF533" >7.2 <span class="Heading" >Low-Level Descriptions</span ></a>span >div class="ContSSBlock" >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X7BFE3679813E5D08" >7.2-1 IsSignedPerm</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X83BC19B8812D211C" >7.2-2 ListSignedPerm</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X7CAA502279CC9A8C" >7.2-3 ListSignedPerm</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X7C6AB5A27B2DA2F1" >7.2-4 SignedPerm</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X856041438008B08B" >7.2-5 NewSignedPerm</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X82C6D31583C213E1" >7.2-6 NewSignedPerm</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X87BCE2B280486669" >7.2-7 IsSignedPermRep</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X8531225C7C224C62" >7.2-8 IsSignedPermListRep</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X8033A20F7A7A60CB" >7.2-9 OnPosPoints</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X84709BF07811FECB" >7.2-10 LargestMovedPoint</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X824068057D141DE0" >7.2-11 RandomSignedPermList</a></span >span class="ContSS" ><br /><span class="nocss" > </span ><a href="chap7.html#X85E05F9283E5B099" >7.2-12 RandomSignedPerm</a></span >div ></div >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="chap3.html" >3</a> <a href="chap4.html" >4</a> <a href="chap5.html" >5</a> <a href="chap6.html" >6</a> <a href="chap7.html" >7</a> <a href="chapInd.html" >Ind</a> </div >hr />"foot" >generated by <a 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