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

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.

23 pages. Postprint version

References in corpus (3)

• Nichols algebras of group type with many quadratic relations
• Rank 2 Nichols Algebras of Diagonal Type over Fields of Positive Characteristic
• Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II. Unipotent classes in symplectic groups

Cited by in corpus (1)

• Twist equivalence for Nichols algebras over Coxeter groups