Journal of Lie Theory 24 (2014), No. 2, 351--372
Copyright Heldermann Verlag 2014
Finite Dimensional Nichols Algebras over Finite Cyclic Groups
Weicai Wu
Dept. of Mathematics, Hunan University, Changsha 410082, P. R. China
weicaiwu@hnu.edu.cn
Shouchuan Zhang
Dept. of Mathematics, Hunan University, Changsha 410082, P. R. China
sczhang@hnu.edu.cn
Yao-Zhong Zhang
School of Mathematics and Physics, The University of Queensland, Brisbane 4072, Australia
yzz@maths.uq.edu.au
[Abstract-pdf]
\def\Z{{\Bbb Z}} All finite dimensional Nichols algebras of diagonal type of connected finite dimensional Yetter-Drinfeld modules over a finite cyclic group $\Z_n$ are found. It is proved that the Nichols algebra of a connected Yetter-Drinfeld module $V$ over $\Z_n$ with $\dim V >3$ is infinite dimensional.
Keywords: Arithmetic root system, Hopf algebra, cyclic group.
MSC: 16W30, 11A07
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