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Braided groups and algebraic quantum field theories

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Abstract

We introduce the notion of a braided group. This is analogous to a supergroup with Bose-Fermi statistics ±1 replaced by braid statistics. We show that every algebraic quantum field theory in two dimensions leads to a braided group of internal symmetries. Every quantum group can be viewed as a braided group.

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Majid, S. Braided groups and algebraic quantum field theories. Lett Math Phys 22, 167–175 (1991). https://doi.org/10.1007/BF00403542

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