English

Coribbon Hopf (face) algebras generated by lattice models

Quantum Algebra 2007-05-23 v1

Abstract

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.

Keywords

Cite

@article{arxiv.math/9904081,
  title  = {Coribbon Hopf (face) algebras generated by lattice models},
  author = {Takahiro Hayashi},
  journal= {arXiv preprint arXiv:math/9904081},
  year   = {2007}
}

Comments

AMS-LaTeX, 26 pages

R2 v1 2026-07-22T18:02:40.791Z