Fernando Fantino

Finite-dimensional pointed Hopf algebras with alternating groups are trivial

It is shown that Nichols algebras over alternating groups

On pointed Hopf algebras over dihedral groups

{\mathbb A_m}

The logbook of Pointed Hopf algebras over the sporadic simple groups

(m ≥ 5) are infinite dimensional. This proves that any complex finite dimensional pointed Hopf algebra with group of group-likes isomorphic to

On Nichols algebras associated to simple racks

{\mathbb A_m}

On pointed Hopf algebras associated with the symmetric groups

is isomorphic to the group algebra. In a similar fashion, it is shown that the Nichols algebras over the symmetric groups