Quantum groups and ribbon G-categories

The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2, C)

Robion Kirby, Paul Melvin · Inventiones mathematicae · 1991 · 380 citations

Lie Group, Representation Theory, 3-Manifold Invariants +2

Homotopy field theory in dimension 3 and crossed group-categories

Vladimir Turaev · arXiv (Cornell University) · 2000 · 152 citations · Full text

Hopf Algebra, Engineering, Homotopy Field Theory +10

Fusion categories arising from semisimple Lie algebras

Henning Haahr Andersen, Jan Paradowski · Communications in Mathematical Physics · 1995 · 143 citations

Lie Group, Representation Theory, Fusion Categories +2

𝐶* tensor categories from quantum groups

Hans Wenzl · Journal of the American Mathematical Society · 1998 · 87 citations · Full text

Quantum Science, Math Xmlns, Quantum Groups +11

Hecke algebras, modular categories and 3-manifolds quantum invariants

Christian Blanchet · Topology · 2000 · 87 citations

Quantum Algebra, Modular Categories, Representation Theory