Braid group representations from twisted tensor products of algebras

Paul Gustafson , Andrew Kimball , Eric C. Rowell , Qing Zhang

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keywords braidgroupmathcalproductsrepresentationstensortwistedalgebras

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We unify and generalize several approaches to constructing braid group representations from finite groups, using iterated twisted tensor products. Our results hint at a relationship between the braidings on the $G$-gaugings of a pointed modular category $\mathcal{C}(A,Q)$ and that of $\mathcal{C}(A,Q)$ itself.

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Braid group representations from twisted tensor products of algebras

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