English

On classification of Hopf superalgebras of low dimension

Quantum Algebra 2025-05-01 v2

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.

Keywords

Cite

@article{arxiv.2306.04122,
  title  = {On classification of Hopf superalgebras of low dimension},
  author = {Taiki Shibata and Ryota Wakao},
  journal= {arXiv preprint arXiv:2306.04122},
  year   = {2025}
}

Comments

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