201 citations · 530 across the 55 of their papers we have counts for
63 papers
Higher Fomin-Kirillov algebras are infinite-dimensional
N. Andruskiewitsch, I. Angiono, I. Heckenberger +3
We show that the Fomin--Kirillov algebras are infinite-dimensional for . This answers a question posed by Fomin and Kirillov in 1997. To prove this, we demonstrate t…
On Noetherian pointed Hopf algebras
N. Andruskiewitsch, I. Heckenberger, L. Vendramin
In arXiv:1405.4105 it was asked whether an affine Hopf algebra with finite Gelfand-Kirillov dimension is necessarily Noetherian. It is well-known that the converse is not true --ta…
Subracks and second homology of the conjugacy classes of finite projective special linear groups of degree two
Istvan Heckenberger, Fengchang Li
We describe the subracks of the conjugacy classes of based on Dickson's theorem on subgroups of . All minimal non-abelian subracks of $\mathr…
Pointed Hopf algebras of odd dimension and Nichols algebras over solvable groups
N. Andruskiewitsch, I. Heckenberger, L. Vendramin
We classify finite-dimensional Nichols algebras of Yetter-Drinfeld modules with indecomposable support over finite solvable groups in characteristic 0, using a variety of methods i…
Left coideal subalgebras of Nichols algebras
Istvan Heckenberger, Katharina Schäfer
We determine all Nichols algebras of finite-dimensional Yetter-Drinfeld modules over groups such that all its left coideal subalgebras in the category of -graded como…
Finite-dimensional Nichols algebras of simple Yetter-Drinfeld modules (over groups) of prime dimension
I. Heckenberger, E. Meir, L. Vendramin
Over fields of characteristic zero, we determine all absolutely irreducible Yetter-Drinfeld modules over groups that have prime dimension and yield a finite-dimensional Nichols alg…