Finite-dimensional Nichols algebras of simple Yetter-Drinfeld modules (over groups) of prime dimension (2306.02989v3)

Abstract: Over fields of characteristic zero, we determine all absolutely irreducible Yetter-Drinfeld modules over groups that have prime dimension and yield a finite-dimensional Nichols algebra. To achieve our goal, we introduce orders of braided vector spaces and study their degenerations and specializations.