Finite GK-dimensional Nichols algebras over the quaternion group $Q_8$

Autor:	Zhang, Yongliang
Rok vydání:	2023
Předmět:	Mathematics - Quantum Algebra Mathematics - Representation Theory
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.10505 Zobrazit plný text záznamu View this record from Arxiv