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arXiv · 2306.04122

On classification of Hopf superalgebras of low dimension

Taiki Shibata·Ryota Wakao
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Abstract

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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Taiki Shibata, Ryota Wakao. 2023-06-07. On classification of Hopf superalgebras of low dimension. https://doi.org/10.1090/conm%2F814

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