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- W2949561750 abstract "We show that semisimple Hopf algebras having a self-dual faithful irreducible comodule of dimension 2 are always obtained as abelian extensions with quotient Z_2. We prove that nontrivial Hopf algebras arising in this way can be regarded as deformations of binary polyhedral groups and describe its category of representations. We also prove a strengthening of a result of Nichols and Richmond on cosemisimple Hopf algebras with a 2-dimensional irreducible comodule in the finite dimensional context. Finally, we give some applications to the classification of certain classes of semisimple Hopf algebras." @default.
- W2949561750 created "2019-06-27" @default.
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- W2949561750 date "2009-07-10" @default.
- W2949561750 modified "2023-10-01" @default.
- W2949561750 title "Hopf algebra deformations of binary polyhedral groups" @default.
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