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math.QA2026
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…
math.QA2025
Hopf formulae for homology of skew braces
M. Gran, T. Letourmy, L. Vendramin
The variety of skew braces contains several interesting subcategories as subvarieties, as for instance the varieties of radical rings, of groups and of abelian groups. In this arti…
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…