Coribbon Hopf (face) algebras generated by lattice models

Details Coribbon Hopf (face) algebras generated by lattice models Coribbon Hopf (face) algebras generated by lattice models

1999-04-16

arxiv.org/abs/math/9904081v1

Mathematics

Quantum Algebra

AMS-LaTeX, 26 pages

Scientific paper

By studying ``points of the underlying quantum groups''of coquasitriangular Hopf (face) algebras, we construct ribbon categories for each lattice models without spectral parameter of both vertex and face type. Also, we give a classification of the braiding and the ribbon structure on quantized classical groups and modular tensor categories closely related to quantum SU(N)_L-invariants of 3-manifolds.

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