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- W2884733551 abstract "The hyperoctahedral group $H_N$ is known to have two natural liberations: the good one $H_N^+$, which is the quantum symmetry group of $N$ segments, and the bad one $bar{O}_N$, which is the quantum symmetry group of the $N$-hypercube. We study here this phenomenon, in the general quizzy framework, which covers the various liberations and twists of $H_N,O_N$. Our results include: (1) an interpretation of the embedding $bar{O}_Nsubset S_{2^N}^+$, as corresponding to the antisymmetric representation of $O_N$, (2) a study of the liberations of $H_N$, notably with the result $ =O_N^+$, and (3) a comparison of the $k$-orbitals for the inclusions $H_Nsubset H_N^+$ and $H_Nsubsetbar{O}_N$, for $kinmathbb N$ small." @default.
- W2884733551 created "2018-08-03" @default.
- W2884733551 creator A5025328470 @default.
- W2884733551 date "2018-07-19" @default.
- W2884733551 modified "2023-09-26" @default.
- W2884733551 title "Higher orbitals of quizzy quantum group actions" @default.
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