On classification of Hopf superalgebras of low dimension

Fuente: arXiv
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Main Authors: Shibata, Taiki, Wakao, Ryota
Format: Preprint
Published: 2023
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author Shibata, Taiki
Wakao, Ryota
author_facet Shibata, Taiki
Wakao, Ryota
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2306_04122
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle On classification of Hopf superalgebras of low dimension
Shibata, Taiki
Wakao, Ryota
Quantum Algebra
16T05, 17A70
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.
title On classification of Hopf superalgebras of low dimension
topic Quantum Algebra
16T05, 17A70
url https://arxiv.org/abs/2306.04122