83 citations · 307 across the 21 of their papers we have counts for
21 papers
Nichols algebras of group type with many quadratic relations
M. Graña, I. Heckenberger, L. Vendramin
We classify Nichols algebras of irreducible Yetter-Drinfeld modules over nonabelian groups satisfying an inequality for the dimension of the homogeneous subspace of degree two. All…
The logbook of Pointed Hopf algebras over the sporadic groups
N. Andruskiewitsch, F. Fantino, M. Graña +1
In this notes we give details of the proofs performed with GAP of the theorems of our paper "Pointed Hopf Algebras over the Sporadic Simple Groups".
Pointed Hopf algebras over the sporadic simple groups
N. Andruskiewitsch, F. Fantino, M. Graña +1
We show that every finite-dimensional complex pointed Hopf algebra with group of group-likes isomorphic to a sporadic group is a group algebra, except for the Fischer group Fi22, t…
Pointed Hopf algebras over some sporadic simple groups
N. Andruskiewitsch, F. Fantino, M. Graña +1
Any finite-dimensional complex pointed Hopf algebra with group of group-likes isomorphic to a sporadic group, with the possible exception of the Fischer groups Fi22, the Baby Monst…
Finite-dimensional pointed Hopf algebras with alternating groups are trivial
N. Andruskiewitsch, F. Fantino, M. Graña +1
It is shown that Nichols algebras over alternating groups A_m, m>4, are infinite dimensional. This proves that any complex finite dimensional pointed Hopf algebra with group of gro…
On Nichols algebras over PGL(2,q) and PSL(2,q)
S. Freyre, M. Graña, L. Vendramin
We compute necessary conditions on Yetter-Drinfeld modules over the groups $\mathbf{PGL}(2,q)=\mathbf{PGL}(2,\FF_q)$ and $\mathbf{PSL}(2,q)=\mathbf{PSL}(2,\FF_q)$ to generate finit…