paper

On classification of Hopf superalgebras of low dimension

arXiv:2306.04122 · doi:10.1090/conm/814

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.

29 pages, final version to appear in AMS Contemp. Math