Geodesic
A classification of Nichols algebras of semisimple Yetter–Drinfeld modules over non-abelian groups
Journal of the European Mathematical Society, Tome 19 (2017) no. 2, pp. 299-356

Voir la notice de l'article provenant de la source EMS Press

Over fields of arbitrary characteristic we classify all braid-indecomposable tuples of at least two absolutely simple Yetter–Drinfeld modules over non-abelian groups such that the group is generated by the support of the tuple and the Nichols algebra of the tuple is finite-dimensional. Such tuples are classified in terms of analogs of Dynkin diagrams which encode much information about the Yetter–Drinfeld modules. We also compute the dimensions of these finite-dimensional Nichols algebras. Our proof uses essentially theWeyl groupoid of a tuple of simple Yetter–Drinfeld modules and our previous result on pairs.
DOI : 10.4171/jems/667
Classification : 16-XX, 20-XX
Keywords: Nichols algebra, Weyl groupoid, Hopf algebra 
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     title = {A classification of {Nichols} algebras of semisimple {Yetter{\textendash}Drinfeld} modules over non-abelian groups},
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István Heckenberger; Leandro Vendramin. A classification of Nichols algebras of semisimple Yetter–Drinfeld modules over non-abelian groups. Journal of the European Mathematical Society, Tome 19 (2017) no. 2, pp. 299-356. doi: 10.4171/jems/667

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