English

Topological description of U_q(sl_2)-representations

Quantum Algebra 2007-05-23 v3

Abstract

We prove there is an equivalence of ribbon categories between a category introduced by Turaev whose morphisms are planar diagrams and a full subcategory of the category of finite-dimensional modules over U_q(sl_2).

Cite

@article{arxiv.math/9810088,
  title  = {Topological description of U_q(sl_2)-representations},
  author = {Henrik Thys},
  journal= {arXiv preprint arXiv:math/9810088},
  year   = {2007}
}

Comments

LaTeX2e, 24 pages, 5 figures. Proofs simplified, composition revised

R2 v1 2026-07-22T18:00:29.422Z