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#SIXFORMAT GapDocGAP
HELPBOOKINFOSIXTMP := rec(
encoding := "UTF-8",
bookname := "RepnDecomp",
entries :=
[ [ "Title page", "0.0", [ 0, 0, 0 ], 1, 1, "title page", "X7D2C85EC87DD46E5"
],
[ "Table of Contents", "0.0-1", [ 0, 0, 1 ], 24, 2, "table of contents",
"X8537FEB07AF2BEC8" ],
[ "\033[1X\033[33X\033[0;-2YIntroduction\033[133X\033[101X", "1",
[ 1, 0, 0 ], 1, 3, "introduction", "X7DFB63A97E67C0A1" ],
[
"\033[1X\033[33X\033[0;-2YGetting started with RepnDecomp\033[133X\033[101X\
", "1.1", [ 1, 1, 0 ], 4, 3, "getting started with repndecomp",
"X789233A47A277072" ],
[ "\033[1X\033[33X\033[0;-2YInstallation\033[133X\033[101X", "1.1-1",
[ 1, 1, 1 ], 11, 3, "installation", "X8360C04082558A12" ],
[
"\033[1X\033[33X\033[0;-2YNote on what is meant by a representation\033[133\
X\033[101X", "1.1-2", [ 1, 1, 2 ], 18, 3,
"note on what is meant by a representation", "X792C0F507B4A3B89" ],
[ "\033[1X\033[33X\033[0;-2YAPI Overview\033[133X\033[101X", "1.1-3",
[ 1, 1, 3 ], 45, 3, "api overview", "X8315479878D25E37" ],
[
"\033[1X\033[33X\033[0;-2YIsomorphisms between representations\033[133X\\
033[101X", "2", [ 2, 0, 0 ], 1, 5, "isomorphisms between representations",
"X7D9B253E794EF912" ],
[ "\033[1X\033[33X\033[0;-2YFinding explicit isomorphisms\033[133X\033[101X"
, "2.1", [ 2, 1, 0 ], 4, 5, "finding explicit isomorphisms",
"X7AEE81C2809E0B98" ],
[ "\033[1X\033[33X\033[0;-2YTesting isomorphisms\033[133X\033[101X", "2.2",
[ 2, 2, 0 ], 79, 6, "testing isomorphisms", "X85DAC9E583D8EFB9" ],
[
"\033[1X\033[33X\033[0;-2YAlgorithms for unitary representations\033[133X\\
033[101X", "3", [ 3, 0, 0 ], 1, 8, "algorithms for unitary representations",
"X83B4D1DB7F92BD3A" ],
[ "\033[1X\033[33X\033[0;-2YUnitarising representations\033[133X\033[101X",
"3.1", [ 3, 1, 0 ], 4, 8, "unitarising representations",
"X870B3D0D80CFADB1" ],
[
"\033[1X\033[33X\033[0;-2YDecomposing unitary representations\033[133X\033[\
101X", "3.2", [ 3, 2, 0 ], 82, 9, "decomposing unitary representations",
"X7974D0C580C833D1" ],
[
"\033[1X\033[33X\033[0;-2YMiscellaneous useful functions\033[133X\033[101X"
, "4", [ 4, 0, 0 ], 1, 10, "miscellaneous useful functions",
"X8346542B8387968B" ],
[
"\033[1X\033[33X\033[0;-2YPredicates for representations\033[133X\033[101X"
, "4.1", [ 4, 1, 0 ], 4, 10, "predicates for representations",
"X87196FDB78749ECA" ],
[ "\033[1X\033[33X\033[0;-2YEfficient summing over groups\033[133X\033[101X"
, "4.2", [ 4, 2, 0 ], 23, 10, "efficient summing over groups",
"X8271F7A386CFEA63" ],
[
"\033[1X\033[33X\033[0;-2YSpace-efficient representation of tensors of matr\
ices\033[133X\033[101X", "4.3", [ 4, 3, 0 ], 55, 11,
"space-efficient representation of tensors of matrices",
"X86F42D257CFB192D" ],
[ "\033[1X\033[33X\033[0;-2YMatrices and homomorphisms\033[133X\033[101X",
"4.4", [ 4, 4, 0 ], 105, 11, "matrices and homomorphisms",
"X83F160967ED7EE14" ],
[
"\033[1X\033[33X\033[0;-2YRepresentation theoretic functions\033[133X\033[1\
01X", "4.5", [ 4, 5, 0 ], 116, 12, "representation theoretic functions",
"X7C3EDA5E7A24196C" ],
[
"\033[1X\033[33X\033[0;-2YComputing decompositions of representations\033[1\
33X\033[101X", "5", [ 5, 0, 0 ], 1, 13,
"computing decompositions of representations", "X7F968DF987DE4A6E" ],
[ "\033[1X\033[33X\033[0;-2YBlock diagonalizing\033[133X\033[101X", "5.1",
[ 5, 1, 0 ], 4, 13, "block diagonalizing", "X7E29883984400D2C" ],
[ "\033[1X\033[33X\033[0;-2YAlgorithms due to the authors\033[133X\033[101X"
, "5.2", [ 5, 2, 0 ], 32, 13, "algorithms due to the authors",
"X863A16A179A7486B" ],
[ "\033[1X\033[33X\033[0;-2YAlgorithms due to Serre\033[133X\033[101X",
"5.3", [ 5, 3, 0 ], 99, 15, "algorithms due to serre",
"X7C22F13E80A74438" ],
[ "\033[1X\033[33X\033[0;-2YCentralizer (commutant) rings\033[133X\033[101X"
, "6", [ 6, 0, 0 ], 1, 18, "centralizer commutant rings",
"X7A0EF2C67E2DB726" ],
[
"\033[1X\033[33X\033[0;-2YFinding a basis for the centralizer\033[133X\033[\
101X", "6.1", [ 6, 1, 0 ], 4, 18, "finding a basis for the centralizer",
"X7E70A3D881CD5FFA" ],
[
"\033[1X\033[33X\033[0;-2YUsing the centralizer for computations\033[133X\\
033[101X", "6.2", [ 6, 2, 0 ], 51, 19,
"using the centralizer for computations", "X83C4F8C17DA976EE" ],
[ "Index", "ind", [ "Ind", 0, 0 ], 1, 20, "index", "X83A0356F839C696F" ],
[ "\033[2XLinearRepresentationIsomorphism\033[102X", "2.1-1", [ 2, 1, 1 ],
7, 5, "linearrepresentationisomorphism", "X7F0D3CFB7800149A" ],
[ "\033[2XLinearRepresentationIsomorphismSlow\033[102X", "2.1-2",
[ 2, 1, 2 ], 61, 6, "linearrepresentationisomorphismslow",
"X841DE7D08491325F" ],
[ "\033[2XAreRepsIsomorphic\033[102X", "2.2-1", [ 2, 2, 1 ], 82, 6,
"arerepsisomorphic", "X86EB9DD586958473" ],
[ "\033[2XIsLinearRepresentationIsomorphism\033[102X", "2.2-2",
[ 2, 2, 2 ], 105, 7, "islinearrepresentationisomorphism",
"X81080E1B7917B361" ],
[ "\033[2XUnitaryRepresentation\033[102X", "3.1-1", [ 3, 1, 1 ], 7, 8,
"unitaryrepresentation", "X86B2367A79BE5B9F" ],
[ "\033[2XIsUnitaryRepresentation\033[102X", "3.1-2", [ 3, 1, 2 ], 48, 9,
"isunitaryrepresentation", "X87D121227C027253" ],
[ "\033[2XLDLDecomposition\033[102X", "3.1-3", [ 3, 1, 3 ], 58, 9,
"ldldecomposition", "X78F7DFD186A4E7CA" ],
[ "\033[2XIrreducibleDecompositionDixon\033[102X", "3.2-1", [ 3, 2, 1 ],
85, 9, "irreducibledecompositiondixon", "X8175C1167A31C3D6" ],
[
"\033[2XIsFiniteGroupLinearRepresentation\033[102X for IsGroupHomomorphism"
, "4.1-1", [ 4, 1, 1 ], 7, 10,
"isfinitegrouplinearrepresentation for isgrouphomomorphism",
"X8631A1417C3C1D88" ],
[
"\033[2XIsFiniteGroupPermutationRepresentation\033[102X for IsGroupHomomorp\
hism", "4.1-2", [ 4, 1, 2 ], 15, 10,
"isfinitegrouppermutationrepresentation for isgrouphomomorphism",
"X826D5ADF7FA87782" ],
[ "\033[2XGroupSumBSGS\033[102X", "4.2-1", [ 4, 2, 1 ], 26, 10,
"groupsumbsgs", "X85E8A5FC844DC09A" ],
[
"\033[2XIsTensorProductOfMatricesObj\033[102X for IsMultiplicativeElementWi\
thInverse", "4.3-1", [ 4, 3, 1 ], 70, 11,
"istensorproductofmatricesobj for ismultiplicativeelementwithinverse",
"X84335C447DE377B0" ],
[ "\033[2XIsTensorProductPairRep\033[102X for IsPositionalObjectRep",
"4.3-2", [ 4, 3, 2 ], 78, 11,
"istensorproductpairrep for ispositionalobjectrep", "X868B9CB1873C93AC"
],
[ "\033[2XIsTensorProductKroneckerRep\033[102X for IsPositionalObjectRep",
"4.3-3", [ 4, 3, 3 ], 86, 11,
"istensorproductkroneckerrep for ispositionalobjectrep",
"X85AD76DB7D5F8B12" ],
[ "\033[2XTensorProductOfMatrices\033[102X", "4.3-4", [ 4, 3, 4 ], 94, 11,
"tensorproductofmatrices", "X86671AD582FF77E2" ],
[ "\033[2XCharacterOfTensorProductOfRepresentations\033[102X", "4.3-5",
[ 4, 3, 5 ], 101, 11, "characteroftensorproductofrepresentations",
"X79D0379D79F5DF9B" ],
[ "\033[2XComposeHomFunction\033[102X", "4.4-1", [ 4, 4, 1 ], 108, 11,
"composehomfunction", "X7D17785482F143B0" ],
[ "\033[2XTensorProductRepLists\033[102X", "4.5-1", [ 4, 5, 1 ], 119, 12,
"tensorproductreplists", "X841424DF824E258B" ],
[ "\033[2XDirectSumOfRepresentations\033[102X", "4.5-2", [ 4, 5, 2 ], 127,
12, "directsumofrepresentations", "X84EAE3DB7FA8102C" ],
[ "\033[2XDegreeOfRepresentation\033[102X", "4.5-3", [ 4, 5, 3 ], 132, 12,
"degreeofrepresentation", "X85147CF97B912CC3" ],
[ "\033[2XPermToLinearRep\033[102X", "4.5-4", [ 4, 5, 4 ], 138, 12,
"permtolinearrep", "X7B14287E7BFC548D" ],
[ "\033[2XIsOrthonormalSet\033[102X", "4.5-5", [ 4, 5, 5 ], 144, 12,
"isorthonormalset", "X7E67A4817A5E4879" ],
[ "\033[2XBlockDiagonalBasisOfRepresentation\033[102X", "5.1-1",
[ 5, 1, 1 ], 12, 13, "blockdiagonalbasisofrepresentation",
"X8361AD057AD282AC" ],
[ "\033[2XBlockDiagonalRepresentation\033[102X", "5.1-2", [ 5, 1, 2 ], 22,
13, "blockdiagonalrepresentation", "X86EB837579C1416D" ],
[ "\033[2XREPN_ComputeUsingMyMethod\033[102X for IsGroupHomomorphism",
"5.2-1", [ 5, 2, 1 ], 35, 13,
"repn_computeusingmymethod for isgrouphomomorphism",
"X831574AD864C94A8" ],
[
"\033[2XREPN_ComputeUsingMyMethodCanonical\033[102X for IsGroupHomomorphism\
", "5.2-2", [ 5, 2, 2 ], 71, 14,
"repn_computeusingmymethodcanonical for isgrouphomomorphism",
"X7DB659DB7E48D502" ],
[ "\033[2XCanonicalDecomposition\033[102X", "5.3-1", [ 5, 3, 1 ], 105, 15,
"canonicaldecomposition", "X7E95B0367992BEC4" ],
[ "\033[2XIrreducibleDecomposition\033[102X", "5.3-2", [ 5, 3, 2 ], 139,
15, "irreducibledecomposition", "X795C63F386C45308" ],
[ "\033[2XIrreducibleDecompositionCollected\033[102X", "5.3-3",
[ 5, 3, 3 ], 168, 16, "irreducibledecompositioncollected",
"X87E91CBE7992D126" ],
[ "\033[2XREPN_ComputeUsingSerre\033[102X for IsGroupHomomorphism",
"5.3-4", [ 5, 3, 4 ], 178, 16,
"repn_computeusingserre for isgrouphomomorphism", "X7C1CF0547D72D354" ],
[ "\033[2XCentralizerBlocksOfRepresentation\033[102X", "6.1-1",
[ 6, 1, 1 ], 7, 18, "centralizerblocksofrepresentation",
"X7901B6A7860D35C3" ],
[ "\033[2XCentralizerOfRepresentation\033[102X", "6.1-2", [ 6, 1, 2 ], 33,
18, "centralizerofrepresentation", "X86B19E2B877121E9" ],
[ "\033[2XClassSumCentralizer\033[102X", "6.2-1", [ 6, 2, 1 ], 54, 19,
"classsumcentralizer", "X87E5BAEB82DC00C3" ],
[ "\033[2XClassSumCentralizerNC\033[102X", "6.2-2", [ 6, 2, 2 ], 89, 19,
"classsumcentralizernc", "X78719DC8868B0744" ] ]
);
[ Dauer der Verarbeitung: 0.20 Sekunden
(vorverarbeitet)
]
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