
Journal of Lie Theory 24 (2014), No. 2, 351372 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 YaoZhong Zhang School of Mathematics and Physics, The University of Queensland, Brisbane 4072, Australia yzz@maths.uq.edu.au [Abstractpdf] \def\Z{{\Bbb Z}} All finite dimensional Nichols algebras of diagonal type of connected finite dimensional YetterDrinfeld modules over a finite cyclic group $\Z_n$ are found. It is proved that the Nichols algebra of a connected YetterDrinfeld module $V$ over $\Z_n$ with $\dim V >3$ is infinite dimensional. Keywords: Arithmetic root system, Hopf algebra, cyclic group. MSC: 16W30, 11A07 [ Fulltextpdf (343 KB)] for subscribers only. 