%PDF-1.5 % 4 0 obj << /S /GoTo /D (section.1) >> endobj 7 0 obj (1 Introduction) endobj 8 0 obj << /S /GoTo /D (section.2) >> endobj 11 0 obj (2 Preliminaries) endobj 12 0 obj << /S /GoTo /D (subsection.2.1) >> endobj 15 0 obj (2.1 Lie theory) endobj 16 0 obj << /S /GoTo /D (subsection.2.2) >> endobj 19 0 obj (2.2 Lusztig's ansatz for R-matrices) endobj 20 0 obj << /S /GoTo /D (section.3) >> endobj 23 0 obj (3 Conditions for the existence of R-matrices) endobj 24 0 obj << /S /GoTo /D (subsection.3.1) >> endobj 27 0 obj (3.1 A first set of conditions on /') endobj 28 0 obj << /S /GoTo /D (subsection.3.2) >> endobj 31 0 obj (3.2 A natural form on the fundamental group) endobj 32 0 obj << /S /GoTo /D (section.4) >> endobj 35 0 obj (4 Explicit calculation for every g) endobj 36 0 obj << /S /GoTo /D (subsection.4.1) >> endobj 39 0 obj (4.1 Technical tools) endobj 40 0 obj << /S /GoTo /D (subsection.4.2) >> endobj 43 0 obj (4.2 Case =W) endobj 44 0 obj << /S /GoTo /D (subsection.4.3) >> endobj 47 0 obj (4.3 Case An) endobj 48 0 obj << /S /GoTo /D (subsection.4.4) >> endobj 51 0 obj (4.4 Case Dn) endobj 52 0 obj << /S /GoTo /D (subsection.4.5) >> endobj 55 0 obj (4.5 Table of all quasitriangular quantum groups) endobj 56 0 obj << /S /GoTo /D (section.5) >> endobj 59 0 obj (5 Factorizability of quantum group R-matrices) endobj 60 0 obj << /S /GoTo /D (subsection.5.1) >> endobj 63 0 obj (5.1 Monodromy matrix in terms of R0) endobj 64 0 obj << /S /GoTo /D (subsection.5.2) >> endobj 67 0 obj (5.2 Factorizability for symmetric R0\(f\)) endobj 68 0 obj << /S /GoTo /D (subsection.5.3) >> endobj 71 0 obj (5.3 Factorizability for D2n, R0 antisymmetric) endobj 72 0 obj << /S /GoTo /D (subsection.5.4) >> endobj 75 0 obj (5.4 Transparent objects in non-factorizable cases) endobj 76 0 obj << /S /GoTo /D (section.6) >> endobj 79 0 obj (6 Quantum groups with a ribbon structure) endobj 80 0 obj << /S /GoTo /D (section.7) >> endobj 83 0 obj (7 Open questions) endobj 84 0 obj << /S /GoTo /D (ref.1) >> endobj 87 0 obj (References) endobj 88 0 obj << /S /GoTo /D [89 0 R /Fit] >> endobj 105 0 obj << /Length 4259 /Filter /FlateDecode >> stream x:r67v&.HeĽƚI$ST7l7&ٖsx%VK7 ~aY%7_%/z,ѫUfbajVчu:3zXu)C٭etQp 7W^7:; w-xH>ʺ%io^Oplt66NNÌ/Tl2@~ID&¿kdƵJ&+ac)RµQ&Vy2ֹmW7*),N q H$wEה[Աit]7