The classification of Nichols algebras over groups with finite root system of rank two
The classification of Nichols algebras over groups with finite root system of rank two
We classify all groups G and all pairs (V,W) of absolutely simple Yetter–Drinfeld modules over G such that the support of V\oplus W generates G , c_{W,V}c_{V,W}\ne\mathrm {id} , and the Nichols algebra of the direct sum of V and W admits a finite root system. As a byproduct, we …