From Quantum Groups to Unitary Modular Tensor Categories

@article{Rowell2006FromQG,
  title={From Quantum Groups to Unitary Modular Tensor Categories},
  author={Eric C. Rowell},
  journal={arXiv: Quantum Algebra},
  year={2006}
}
  • Eric C. Rowell
  • Published 2006
  • Mathematics
  • arXiv: Quantum Algebra
  • Modular tensor categories are generalizations of the representation categories of quantum groups at roots of unity axiomatizing the properties nec- essary to produce 3-dimensional TQFTs. Although other constructions have since been found, quantum groups remain the most prolific source. Recently proposed applications to quantum computing have provided an impetus to un- derstand and describe these examples as explicitly as possible, especially those that are "physically feasible." We survey the… CONTINUE READING

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