# 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} }

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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Quasi-coassociative C*-quantum groupoids of type A and modular C*-categories

- Mathematics, Physics
- 2015

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