Geodesic
Finite Dimensional Nichols Algebras over Finite Cyclic Groups
Journal of Lie theory, Tome 24 (2014) no. 2, pp. 351-372

Voir la notice de l'article provenant de la source Heldermann Verlag

\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.
Classification : 16W30, 11A07
Mots-clés : Arithmetic root system, Hopf algebra, cyclic group 
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     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},
     publisher = {mathdoc},
     volume = {24},
     number = {2},
     year = {2014},
     url = {http://geodesic.mathdoc.fr/item/JLT_2014_24_2_JLT_2014_24_2_a2/}
}
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W. Wu; S. Zhang; Y.-Z. 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/JLT_2014_24_2_JLT_2014_24_2_a2/