1Dept. of Mathematics, Hunan University, Changsha 410082, P. R. China 2School of Mathematics and Physics, The University of Queensland, Brisbane 4072, Australia
Journal of Lie Theory, Tome 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.
1
Dept. of Mathematics, Hunan University, Changsha 410082, P. R. China
2
School of Mathematics and Physics, The University of Queensland, Brisbane 4072, Australia
Weicai Wu; Shouchuan Zhang; Yao-Zhong Zhang. Finite Dimensional Nichols Algebras over Finite Cyclic Groups. Journal of Lie Theory, Tome 24 (2014) no. 2, pp. 351-372. http://geodesic.mathdoc.fr/item/JOLT_2014_24_2_a2/
@article{JOLT_2014_24_2_a2,
author = {Weicai Wu and Shouchuan Zhang and Yao-Zhong Zhang},
title = {Finite {Dimensional} {Nichols} {Algebras} over {Finite} {Cyclic} {Groups}},
journal = {Journal of Lie Theory},
pages = {351--372},
year = {2014},
volume = {24},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2014_24_2_a2/}
}
TY - JOUR
AU - Weicai Wu
AU - Shouchuan Zhang
AU - Yao-Zhong Zhang
TI - Finite Dimensional Nichols Algebras over Finite Cyclic Groups
JO - Journal of Lie Theory
PY - 2014
SP - 351
EP - 372
VL - 24
IS - 2
UR - http://geodesic.mathdoc.fr/item/JOLT_2014_24_2_a2/
ID - JOLT_2014_24_2_a2
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%U http://geodesic.mathdoc.fr/item/JOLT_2014_24_2_a2/
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