activity
19932026
most citedFinite-dimensional pointed Hopf algebras with alternating groups are trivial

68 citations · 415 across the 85 of their papers we have counts for

collaborators

100 papers

math.QA2026

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…

math.RA2026

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…

math.QA2026

Hopf algebras over Chevalley groups

Nicolás Andruskiewitsch, Giovanna Carnovale

We show that every finite-dimensional pointed Hopf algebra over a finite simple Chevalley group, different from with q= 3 mod 4 (and from ), is…

math.RT2025

The Green ring of a restricted enveloping algebra in characteristic 2

Nicolás Andruskiewitsch, Dirceu Bagio, Saradia Della Flora +1

Let be an algebraically closed field of characteristic and let be the unique, up to isomorphism, -dimensional simple Lie algebra over . De…

math.RA2025

On the super Jordan plane

Nicolás Andruskiewitsch, François Dumas

We study algebraic properties of the super Jordan plane~ introduced by I. Angiono, I. Heckenberger and the first named author. Concretely we show that is s…

math.QA2025

On the finite generation of the cohomology of bosonizations

Nicolás Andruskiewitsch, David Jaklitsch, Van C. Nguyen +4

We use deformation sequences of (Hopf) algebras, extending the results of Negron and Pevtsova, to show that bosonizations of some suitable braided Hopf algebras by some suitable fi…