28 citations · 60 across the 6 of their papers we have counts for
6 papers
On finite GK-dimensional Nichols algebras of diagonal type
Nicolás Andruskiewitsch, Iván Angiono, István Heckenberger
It was conjectured in \texttt{\small arXiv:1606.02521} that a Nichols algebra of diagonal type with finite Gelfand-Kirillov dimension has finite (generalized) root system. We prove…
A classification of Nichols algebras of semi-simple Yetter-Drinfeld modules over non-abelian groups
I. Heckenberger, L. Vendramin
Over fields of arbitrary characteristic we classify all braid-indecomposable tuples of at least two absolutely simple Yetter-Drinfeld modules over non-abelian groups such that the…
The classification of Nichols algebras over groups with finite root system of rank two
I. Heckenberger, L. Vendramin
We classify all groups G and all pairs (V,W) of absolutely simple Yetter-Drinfeld modules over G such that the support of the direct sum of V and W generates G, the square of the b…
Nichols algebras with many cubic relations
I. Heckenberger, A. Lochmann, L. Vendramin
Nichols algebras of group type with many cubic relations are classified under a technical assumption on the structure of Hurwitz orbits of the third power of the underlying indecom…
Fomin-Kirillov algebras
Leandro Vendramin
This is an extended abstract of the talk given in the Oberwolfach miniworkshop "Nichols algebras and Weyl groupoids" in October 2012.
Differential Calculus on Quantum Complex Grassmann Manifolds II: Classification
I. Heckenberger, S. Kolb
For differential calculi over certain right coideal subalgebras of quantum groups the notion of quantum tangent space is introduced. In generalization of a result by Woronowicz a o…