Journal of Lie Theory

no. 2
Finite Dimensional Nichols Algebras over Finite Cyclic Groups
Journal of Lie Theory, Volume 24 (2014) no. 2, pp. 351-372
\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.
DOI: 10.5802/jolt.787
Classification: 16W30, 11A07
Keywords: Arithmetic root system, Hopf algebra, cyclic group 
@article{JOLT_2014_24_2_a2,
     author = {W. Wu and S. Zhang and Y.-Z. Zhang},
     title = {Finite {Dimensional} {Nichols} {Algebras} over {Finite} {Cyclic} {Groups}},
     journal = {Journal of Lie Theory},
     pages = {351--372},
     year = {2014},
     volume = {24},
     number = {2},
     doi = {10.5802/jolt.787},
     zbl = {1357.16050},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.787/}
}
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W. Wu; S. Zhang; Y.-Z. Zhang. Finite Dimensional Nichols Algebras over Finite Cyclic Groups. Journal of Lie Theory, Volume 24 (2014) no. 2, pp. 351-372. doi: 10.5802/jolt.787

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