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- W4300576057 abstract "Motivated by a question of A.~Skalski and P.M.~So{l}tan about inner faithfulness of the S.~Curran's map, we revisit the results and techniques of T.~Banica and J.~Bichon's Crelle paper and study some group-theoretic properties of the quantum permutation group on $4$ points. This enables us not only to answer the aforementioned question in positive in case $n=4, k=2$, but also to classify the automorphisms of $S_4^+$, describe all the embeddings $O_{-1}(2)subset S_4^+$ and show that all the copies of $O_{-1}(2)$ inside $S_4^+$ are conjugate. We then use these results to show that the criterion we applied to answer the aforementioned question does not admit converse." @default.
- W4300576057 created "2022-10-03" @default.
- W4300576057 creator A5025763425 @default.
- W4300576057 date "2016-11-28" @default.
- W4300576057 modified "2023-10-16" @default.
- W4300576057 title "Remark on Hopf images in quantum permutation groups $S_n^+$" @default.
- W4300576057 doi "https://doi.org/10.48550/arxiv.1611.09211" @default.
- W4300576057 hasPublicationYear "2016" @default.
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