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- W2963473261 abstract "We generalize the asymptotic faithfulness of the skein quantum $SU(2)$ representations of mapping class groups of orientable closed surfaces to skein $SU(3)$. Skein quantum representations of mapping class groups are different from the Reshetikin-Turaev ones from quantum groups or geometric quantization because they are given by different modular tensor categories. We conjecture asymptotic faithfulness holds for skein quantum $G$ representations when $G$ is a simply-connected simple Lie group. The difficulty for such a generalization lies in the lack of an explicit description of the fusion spaces with multiplicities to define an appropriate complexity of state vectors." @default.
- W2963473261 created "2019-07-30" @default.
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- W2963473261 date "2016-01-01" @default.
- W2963473261 modified "2023-09-27" @default.
- W2963473261 title "Comparing skein and quantum group representations and their application to asymptotic faithfulness" @default.
- W2963473261 doi "https://doi.org/10.4310/pamq.2016.v12.n4.a2" @default.
- W2963473261 hasPublicationYear "2016" @default.
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