1999/04/16 by Takahiro Hayashi, Hayashi, Takahiro
Mathematics · #16W30 #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA #msc:16W30
paper · pdf · doi:10.48550/arxiv.math/9904081
AMS-LaTeX, 26 pages
arxiv created 1999/04/16 · arxiv updated 2009/11/30
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.