287 citations · 1.4k across the 60 of their papers we have counts for
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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…
The Köthe conjecture via point modules
B. Greenfeld, B. King, L. Vendramin
We give a short construction refuting the Köthe Conjecture. The construction is based on the point module approach to the problem, introduced by the first-named and second-named au…
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…
Point modules of Nichols algebras over non-abelian groups
B. Greenfeld, L. Vendramin, S. Venkatesh
Nichols algebras are among the most important and mysterious objects in quantum algebra. We continue the systematic program of studying them through their point modules. We study t…