Localization of Unitary Braid Group Representations

@article{Rowell2012LocalizationOU,
  title={Localization of Unitary Braid Group Representations},
  author={Eric C. Rowell and Zhenghan Wang},
  journal={Communications in Mathematical Physics},
  year={2012},
  volume={311},
  pages={595-615}
}
Governed by locality, we explore a connection between unitary braid group representations associated to a unitary R-matrix and to a simple object in a unitary braided fusion category. Unitary R-matrices, namely unitary solutions to the Yang-Baxter equation, afford explicitly local unitary representations of braid groups. Inspired by topological quantum computation, we study whether or not it is possible to reassemble the irreducible summands appearing in the unitary braid group representations… 
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