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Xiao-jie Kang
Xiao-jie Kang
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One question on Natale's work [Semisolvability of semisimple Hopf algebras of low dimension 60]]

I am reading Natale's book [S. Natale, Semisolvability of semisimple Hopf algebras of low dimension 60, Mem. Amer. Math. Soc. 186 (2007), 123 pp.]. I can not understand a sentence "But this is not possible since ${\rm dim}A^{co q} = 9$....." from the proof of Theorem 12.2.1. In my option, there are severa possible values of ${\rm dim}A^{co q}$ since we do not know the exact order of $\eta$, and the sentence above holds true if and only if $|\eta|=2$. Who can explain it for me? Thanks a lot!

One question on Natale's work [Semisolvability of semisimple Hopf algebras of dimension 60]

I am reading Natale's book [S. Natale, Semisolvability of semisimple Hopf algebras of dimension 60, Mem. Amer. Math. Soc. 186 (2007), 123 pp.]. I can not understand a sentence "But this is not possible since ${\rm dim}A^{co q} = 9$....." from the proof of Theorem 12.2.1. In my option, there are severa possible values of ${\rm dim}A^{co q}$ since we do not know the exact order of $\eta$, and the sentence above holds true if and only if $|\eta|=2$. Who can explain it for me? Thanks a lot!

One question on Natale's work [Semisolvability of semisimple Hopf algebras of low dimension ]

I am reading Natale's book [S. Natale, Semisolvability of semisimple Hopf algebras of low dimension, Mem. Amer. Math. Soc. 186 (2007), 123 pp.]. I can not understand a sentence "But this is not possible since ${\rm dim}A^{co q} = 9$....." from the proof of Theorem 12.2.1. In my option, there are severa possible values of ${\rm dim}A^{co q}$ since we do not know the exact order of $\eta$, and the sentence above holds true if and only if $|\eta|=2$. Who can explain it for me? Thanks a lot!

Source Link
Xiao-jie Kang
Xiao-jie Kang
  • 21
  • 2

One question on Natale's work [Semisolvability of semisimple Hopf algebras of dimension 60]

I am reading Natale's book [S. Natale, Semisolvability of semisimple Hopf algebras of dimension 60, Mem. Amer. Math. Soc. 186 (2007), 123 pp.]. I can not understand a sentence "But this is not possible since ${\rm dim}A^{co q} = 9$....." from the proof of Theorem 12.2.1. In my option, there are severa possible values of ${\rm dim}A^{co q}$ since we do not know the exact order of $\eta$, and the sentence above holds true if and only if $|\eta|=2$. Who can explain it for me? Thanks a lot!