287 citations · 1.4k across the 60 of their papers we have counts for
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Nichols algebras associated to the transpositions of the symmetric group are twist-equivalent
L. Vendramin
Using the theory of covering groups of Schur we prove that the two Nichols algebras associated to the conjugacy class of transpositions in S_n are equivalent by twist and hence the…
On Twisted homogeneous racks of type D
N. Andruskiewitsch, F. Fantino, G. A. Garcia +1
We develop some techniques to check when a twisted homogeneous rack of class (L,t,θ) is of type D. Then we apply the obtained results to the cases L an alternating group on n lette…
On Nichols algebras associated to simple racks
N. Andruskiewitsch, F. Fantino, G. A. Garcia +1
This is a report on the present state of the problem of determining the dimension of the Nichols algebra associated to a rack and a cocycle. This is relevant for the classification…
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…