Quasi-Hopf Algebras of Dimension 6

Fuente: arXiv
Salvato in:
Dettagli Bibliografici
Autori principali: Bulacu, Daniel, Misurati, Matteo
Natura: Preprint
Pubblicazione: 2024
Soggetti:
Accesso online:
Tags: Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
_version_ 1866909336375132160
author Bulacu, Daniel
Misurati, Matteo
author_facet Bulacu, Daniel
Misurati, Matteo
contents We complete the classification of the 6-dimensional quasi-Hopf algebras, by proving that any such algebra is semisimple. As byproducts, we provide examples of 6-dimensional quasi-bialgebras that are not semisimple as algebras, as well as the concrete quasi-Hopf structures of the 6-dimensional semisimple quasi-Hopf algebras previously classified by Etingof and Gelaki in terms of their category of representations. In total there are 15 quasi-Hopf algebras in dimension 6 which are not pairwise twist equivalent.
format Preprint
id arxiv_https___arxiv_org_abs_2410_03476
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quasi-Hopf Algebras of Dimension 6
Bulacu, Daniel
Misurati, Matteo
Quantum Algebra
16W30
We complete the classification of the 6-dimensional quasi-Hopf algebras, by proving that any such algebra is semisimple. As byproducts, we provide examples of 6-dimensional quasi-bialgebras that are not semisimple as algebras, as well as the concrete quasi-Hopf structures of the 6-dimensional semisimple quasi-Hopf algebras previously classified by Etingof and Gelaki in terms of their category of representations. In total there are 15 quasi-Hopf algebras in dimension 6 which are not pairwise twist equivalent.
title Quasi-Hopf Algebras of Dimension 6
topic Quantum Algebra
16W30
url https://arxiv.org/abs/2410.03476