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• W2157688052 abstract "For a group G, the notion of a ribbon G-category was introduced in Turaev (Homotopy field theory in dimension 3 and crossed group-categories, preprint, math. GT/0005291) with a view towards constructing 3-dimensional homotopy quantum field theories (HQFTs) with target K(G,1). We discuss here how to derive ribbon G-categories from a simple complex Lie algebra g where G is the center of g. Our construction is based on a study of representations of the quantum group Uq(g) at a root of unity ε. Under certain assumptions on ε, the resulting G-categories give rise to numerical invariants of pairs (a closed oriented 3-manifold M, an element of H1(M;G)) and to 3-dimensional HQFTs." @default.
• W2157688052 created "2016-06-24" @default.
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• W2157688052 date "2003-03-01" @default.
• W2157688052 modified "2023-09-23" @default.
• W2157688052 title "Quantum groups and ribbon G-categories" @default.
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• W2157688052 doi "https://doi.org/10.1016/s0022-4049(02)00191-3" @default.
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