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Ryota Wakao

Publications and source records attributed to Ryota Wakao.

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On classification of Hopf superalgebras of low dimension

We examine the inverse procedure of the Radford-Majid bosonization for Hopf superalgebras and give a handy method for enumerating Hopf superalgebras whose bosonization is isomorphic to a given Hopf algebra. As an application, we classify Hopf superalgebras of dimension up to 5 and give examples of higher dimensions.

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Pointed Hopf superalgebras of dimension up to 10

By utilizing the technique introduced in our previous work to construct Hopf superalgebras by an inverse procedure of the Radford-Majid bosonization, we classify non-semisimple pointed Hopf superalgebras of dimension up to 10 over an algebraically closed field of characteristic zero.

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