#SIXFORMAT GapDocGAP
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[ [ "Title page", "", [ 0, 0, 0 ], 1, 1 ],
[ "Copyright", "-1", [ 0, 0, 1 ], 18, 2 ],
[ "Table of contents", "-2", [ 0, 0, 2 ], 23, 3 ],
[ "\033[1m\033[4m\033[31mIntroduction\033[0m", "1.", [ 1, 0, 0 ], 1, 6 ],
[ "\033[1m\033[4m\033[31mBackground\033[0m", "2.", [ 2, 0, 0 ], 1, 8 ],
[ "\033[1m\033[4m\033[31mGaussian Binomials\033[0m", "2.1", [ 2, 1, 0 ], 9,
8 ], [ "\033[1m\033[4m\033[31mQuantized enveloping algebras\033[0m",
"2.2", [ 2, 2, 0 ], 19, 8 ],
[ "\033[1m\033[4m\033[31mRepresentations of $U_q(\\mathfrak{g})$\033[0m",
"2.3", [ 2, 3, 0 ], 71, 9 ],
[ "\033[1m\033[4m\033[31mPBW-type bases\033[0m", "2.4", [ 2, 4, 0 ], 108,
10 ],
[ "\033[1m\033[4m\033[31mThe ${\\mathbb Z}$-form of $U_q(\\mathfrak{g})$\033\
[0m", "2.5", [ 2, 5, 0 ], 153, 11 ],
[ "\033[1m\033[4m\033[31mThe canonical basis\033[0m", "2.6", [ 2, 6, 0 ],
181, 11 ],
[ "\033[1m\033[4m\033[31mThe path model\033[0m", "2.7", [ 2, 7, 0 ], 274,
12 ], [ "\033[1m\033[4m\033[31mNotes\033[0m", "2.8", [ 2, 8, 0 ], 329,
13 ], [ "\033[1m\033[4m\033[31mQuaGroup\033[0m", "3.", [ 3, 0, 0 ], 1,
14 ],
[ "\033[1m\033[4m\033[31mGlobal constants\033[0m", "3.1", [ 3, 1, 0 ], 6,
14 ],
[ "\033[1m\033[4m\033[31mGaussian integers\033[0m", "3.2", [ 3, 2, 0 ], 36,
14 ], [ "\033[1m\033[4m\033[31mRoots and root systems\033[0m", "3.3",
[ 3, 3, 0 ], 76, 15 ],
[ "\033[1m\033[4m\033[31mWeyl groups and their elements\033[0m", "3.4",
[ 3, 4, 0 ], 214, 17 ],
[ "\033[1m\033[4m\033[31mQuantized enveloping algebras\033[0m", "3.5",
[ 3, 5, 0 ], 374, 20 ],
[ "\033[1m\033[4m\033[31mHomomorphisms and automorphisms\033[0m", "3.6",
[ 3, 6, 0 ], 581, 24 ],
[ "\033[1m\033[4m\033[31mHopf algebra structure\033[0m", "3.7",
[ 3, 7, 0 ], 828, 28 ],
[ "\033[1m\033[4m\033[31mModules\033[0m", "3.8", [ 3, 8, 0 ], 924, 30 ],
[ "\033[1m\033[4m\033[31mThe path model\033[0m", "3.9", [ 3, 9, 0 ], 1354,
37 ],
[ "\033[1m\033[4m\033[31mCanonical bases\033[0m", "3.10", [ 3, 10, 0 ],
1490, 39 ],
[ "\033[1m\033[4m\033[31mUniversal enveloping algebras\033[0m", "3.11",
[ 3, 11, 0 ], 1829, 45 ],
[ "Bibliography", "bib.", [ "Bib", 0, 0 ], 1, 48 ],
[ "References", "bib.", [ "Bib", 0, 0 ], 1, 48 ],
[ "Index", "ind.", [ "Ind", 0, 0 ], 1, 50 ],
[ "\033[1m\033[34mQuantumField\033[0m", "3.1-1", [ 3, 1, 1 ], 9, 14 ],
[ "\033[1m\033[34m_q\033[0m", "3.1-2", [ 3, 1, 2 ], 20, 14 ],
[ "\033[1m\033[34mGaussNumber\033[0m", "3.2-1", [ 3, 2, 1 ], 39, 14 ],
[ "\033[1m\033[34mGaussianFactorial\033[0m", "3.2-2", [ 3, 2, 2 ], 51, 15 ],
[ "\033[1m\033[34mGaussianBinomial\033[0m", "3.2-3", [ 3, 2, 3 ], 64, 15 ],
[ "\033[1m\033[34mRootSystem\033[0m", "3.3-1", [ 3, 3, 1 ], 82, 15 ],
[ "\033[1m\033[34mRootSystem\033[0m", "3.3-1", [ 3, 3, 1 ], 82, 15 ],
[ "\033[1m\033[34mBilinearFormMatNF\033[0m", "3.3-2", [ 3, 3, 2 ], 141, 16 ]
, [ "\033[1m\033[34mPositiveRootsNF\033[0m", "3.3-3", [ 3, 3, 3 ], 150,
16 ], [ "\033[1m\033[34mSimpleSystemNF\033[0m", "3.3-4", [ 3, 3, 4 ],
172, 17 ],
[ "\033[1m\033[34mPositiveRootsInConvexOrder\033[0m", "3.3-5", [ 3, 3, 5 ],
180, 17 ],
[ "\033[1m\033[34mSimpleRootsAsWeights\033[0m", "3.3-6", [ 3, 3, 6 ], 201,
17 ], [ "\033[1m\033[34mApplyWeylElement\033[0m", "3.4-1", [ 3, 4, 1 ],
223, 18 ],
[ "\033[1m\033[34mLengthOfWeylWord\033[0m", "3.4-2", [ 3, 4, 2 ], 239, 18 ],
[ "\033[1m\033[34mLongestWeylWord\033[0m", "3.4-3", [ 3, 4, 3 ], 253, 18 ],
[ "\033[1m\033[34mReducedWordIterator\033[0m", "3.4-4", [ 3, 4, 4 ], 282,
19 ], [ "\033[1m\033[34mExchangeElement\033[0m", "3.4-5", [ 3, 4, 5 ],
307, 19 ],
[ "\033[1m\033[34mGetBraidRelations\033[0m", "3.4-6", [ 3, 4, 6 ], 325, 19 ]
, [ "\033[1m\033[34mLongWords\033[0m", "3.4-7", [ 3, 4, 7 ], 353, 20 ],
[ "\033[1m\033[34mQuantizedUEA\033[0m", "3.5-1", [ 3, 5, 1 ], 384, 20 ],
[ "\033[1m\033[34mQuantizedUEA\033[0m", "3.5-1", [ 3, 5, 1 ], 384, 20 ],
[ "\033[1m\033[34mQuantizedUEA\033[0m", "3.5-1", [ 3, 5, 1 ], 384, 20 ],
[ "\033[1m\033[34mQuantizedUEA\033[0m", "3.5-1", [ 3, 5, 1 ], 384, 20 ],
[ "\033[1m\033[34mObjByExtRep\033[0m", "3.5-2", [ 3, 5, 2 ], 450, 21 ],
[ "\033[1m\033[34mExtRepOfObj\033[0m", "3.5-3", [ 3, 5, 3 ], 499, 22 ],
[ "\033[1m\033[34mQuantumParameter\033[0m", "3.5-4", [ 3, 5, 4 ], 515, 23 ],
[ "\033[1m\033[34mCanonicalMapping\033[0m", "3.5-5", [ 3, 5, 5 ], 528, 23 ],
[ "\033[1m\033[34mWriteQEAToFile\033[0m", "3.5-6", [ 3, 5, 6 ], 553, 23 ],
[ "\033[1m\033[34mReadQEAFromFile\033[0m", "3.5-7", [ 3, 5, 7 ], 566, 23 ],
[ "\033[1m\033[34mQEAHomomorphism\033[0m", "3.6-1", [ 3, 6, 1 ], 587, 24 ],
[ "\033[1m\033[34mQEAAutomorphism\033[0m", "3.6-2", [ 3, 6, 2 ], 637, 25 ],
[ "\033[1m\033[34mQEAAutomorphism\033[0m", "3.6-2", [ 3, 6, 2 ], 637, 25 ],
[ "\033[1m\033[34mQEAAntiAutomorphism\033[0m", "3.6-3", [ 3, 6, 3 ], 703,
26 ],
[ "\033[1m\033[34mQEAAntiAutomorphism\033[0m", "3.6-3", [ 3, 6, 3 ], 703,
26 ],
[ "\033[1m\033[34mAutomorphismOmega\033[0m", "3.6-4", [ 3, 6, 4 ], 711, 26 ]
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725, 26 ],
[ "\033[1m\033[34mBarAutomorphism\033[0m", "3.6-6", [ 3, 6, 6 ], 739, 26 ],
[ "\033[1m\033[34mAutomorphismTalpha\033[0m", "3.6-7", [ 3, 6, 7 ], 754, 27
], [ "\033[1m\033[34mDiagramAutomorphism\033[0m", "3.6-8", [ 3, 6, 8 ],
771, 27 ], [ "\033[1m\033[34m\\*\033[0m", "3.6-9", [ 3, 6, 9 ], 796, 27
], [ "\033[1m\033[34mTensorPower\033[0m", "3.7-1", [ 3, 7, 1 ], 837, 28 ]
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[ "\033[1m\033[34mUseTwistedHopfStructure\033[0m", "3.7-2", [ 3, 7, 2 ],
859, 28 ],
[ "\033[1m\033[34mComultiplicationMap\033[0m", "3.7-3", [ 3, 7, 3 ], 877,
29 ], [ "\033[1m\033[34mAntipodeMap\033[0m", "3.7-4", [ 3, 7, 4 ], 894,
29 ], [ "\033[1m\033[34mCounitMap\033[0m", "3.7-5", [ 3, 7, 5 ], 907,
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[ "\033[1m\033[34mHighestWeightModule\033[0m (for a quantized env. alg.)",
"3.8-1", [ 3, 8, 1 ], 934, 30 ],
[ "\033[1m\033[34mIrreducibleQuotient\033[0m", "3.8-2", [ 3, 8, 2 ], 969,
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[ "\033[1m\033[34mHWModuleByTensorProduct\033[0m", "3.8-3", [ 3, 8, 3 ],
989, 31 ],
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1174, 34 ],
[ "\033[1m\033[34mTrivialAlgebraModule\033[0m", "3.8-13", [ 3, 8, 13 ],
1218, 35 ],
[ "\033[1m\033[34mWeightsAndVectors\033[0m", "3.8-14", [ 3, 8, 14 ], 1231,
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[ "\033[1m\033[34mHighestWeightsAndVectors\033[0m", "3.8-15", [ 3, 8, 15 ],
1258, 35 ],
[ "\033[1m\033[34mRMatrix\033[0m", "3.8-16", [ 3, 8, 16 ], 1275, 36 ],
[ "\033[1m\033[34mIsomorphismOfTensorModules\033[0m", "3.8-17",
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[ "\033[1m\033[34mWriteModuleToFile\033[0m", "3.8-18", [ 3, 8, 18 ], 1320,
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[ "\033[1m\033[34mReadModuleFromFile\033[0m", "3.8-19", [ 3, 8, 19 ], 1331,
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1361, 37 ],
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1374, 37 ],
[ "\033[1m\033[34mEalpha\033[0m (for an LS-path)", "3.9-3", [ 3, 9, 3 ],
1392, 38 ],
[ "\033[1m\033[34mLSSequence\033[0m", "3.9-4", [ 3, 9, 4 ], 1411, 38 ],
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[ "\033[1m\033[34mEndWeight\033[0m", "3.9-6", [ 3, 9, 6 ], 1444, 38 ],
[ "\033[1m\033[34mCrystalGraph\033[0m (for root system and weight)",
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[ "\033[1m\033[34mFalpha\033[0m (for a PBW-monomial)", "3.10-1",
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[ "\033[1m\033[34mEalpha\033[0m (for a PBW-monomial)", "3.10-2",
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[ "\033[1m\033[34mCanonicalBasis\033[0m", "3.10-3", [ 3, 10, 3 ], 1534, 40 ]
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1642, 42 ],
[ "\033[1m\033[34mFalpha\033[0m (for a module element)", "3.10-9",
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[ "\033[1m\033[34mEalpha\033[0m (for a module element)", "3.10-10",
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[ "\033[1m\033[34mFalpha\033[0m (for a crystal vector)", "3.10-13",
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[ "\033[1m\033[34mEalpha\033[0m (for a crystal vector)", "3.10-14",
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[ "\033[1m\033[34mCrystalGraph\033[0m (for a module)", "3.10-15",
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[ "\033[1m\033[34mUEA\033[0m", "3.11-1", [ 3, 11, 1 ], 1835, 45 ],
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1853, 45 ],
[ "\033[1m\033[34mHighestWeightModule\033[0m (for a universal env. alg)",
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[ "\033[1m\033[34mQUEAToUEAMap\033[0m", "3.11-4", [ 3, 11, 4 ], 1885, 46 ] ]
);
