Finite GK-dimensional Nichols algebras over the quaternion group $Q_8$
Quantum Algebra
2023-12-19 v1 Representation Theory
Abstract
We contribute to the classification of Hopf algebras with finite Gelfand-Kirillov dimension, GK-dimension for short, through the study of Nichols algebras over Q 8 ,the quaternion group . We find all the irreducible Yetter-Drinfeld modules V over Q 8 , and determine which Nichols algebras B(V ) of V are finite GK-dimensional, and which Nichols algebras B(V ) of V are finite dimensional.
Keywords
Cite
@article{arxiv.2312.10505,
title = {Finite GK-dimensional Nichols algebras over the quaternion group $Q_8$},
author = {Yongliang Zhang},
journal= {arXiv preprint arXiv:2312.10505},
year = {2023}
}