N. Andruskiewitsch

activity

20242026

collaborators

6 papers

math.QA2026

Hopf algebras over Chevalley groups

NicolÃ¡s Andruskiewitsch, Giovanna Carnovale

We show that every finite-dimensional pointed Hopf algebra over a finite simple Chevalley group, different from $P S L_{2} (q)$ with q= 3 mod 4 (and from $P S L_{3} (2) ≃ P S L_{2} (7)$ ), is…

math.RT2025

The Green ring of a restricted enveloping algebra in characteristic 2

NicolÃ¡s Andruskiewitsch, Dirceu Bagio, Saradia Della Flora +1

Let $k$ be an algebraically closed field of characteristic $2$ and let $fsl (2)$ be the unique, up to isomorphism, $3$ -dimensional simple Lie algebra over $k$ . De…

math.RA2025

On the super Jordan plane

NicolÃ¡s Andruskiewitsch, FranÃ§ois Dumas

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

math.QA2025

On the finite generation of the cohomology of bosonizations

NicolÃ¡s 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…

math.RA2024

Noetherian enveloping algebras of simple graded Lie algebras

NicolÃ¡s Andruskiewitsch, Olivier Mathieu

It is shown that if the universal enveloping algebra of a simple $Z^{n}$ -graded Lie algebra is Noetherian, then the Lie algebra is finite-dimensional.

math.QA2024

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…