Some Hopf Algebras related to $\mathfrak{sl}_2$
Quantum Algebra
2021-01-25 v2
Abstract
We define a series of Artin-Schelter Gorenstein Hopf algebras with injective dimensions 3. Radford's Hopf algebra and Gelaki's Hopf algebra are homomorphic images of . We determine its Grothendieck ring . Meanwhile we can obtain Grothendieck rings of Gelaki's Hopf algebras and Radford's Hopf algebras in \cite{R}, and non-isomorphic Hopf algebras with isomorphic Grothendieck rings.
Keywords
Cite
@article{arxiv.1901.04163,
title = {Some Hopf Algebras related to $\mathfrak{sl}_2$},
author = {Yan Tan and Jing Wang and Zhixiang Wu},
journal= {arXiv preprint arXiv:1901.04163},
year = {2021}
}