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- W2964156790 abstract "Under suitable assumptions on the base field, we prove that a commutative semisimple Yetter–Drinfel'd Hopf algebra over a finite abelian group is trivial, i.e., is an ordinary Hopf algebra, if its dimension is relatively prime to the order of the finite abelian group. Furthermore, we prove that a finite-dimensional cocommutative cosemisimple Yetter–Drinfel'd Hopf algebra contains a trivial Yetter–Drinfel'd Hopf subalgebra of dimension greater than one, at least if the Yetter–Drinfel'd Hopf algebra itself has dimension greater than one." @default.
- W2964156790 created "2019-07-30" @default.
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- W2964156790 date "2016-05-01" @default.
- W2964156790 modified "2023-09-26" @default.
- W2964156790 title "Triviality theorems for Yetter–Drinfel'd Hopf algebras" @default.
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- W2964156790 doi "https://doi.org/10.1016/j.jalgebra.2015.12.031" @default.
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