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.

arXiv comment23 pages. Postprint version

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Cited by in corpus (1)

• Twist equivalence for Nichols algebras over Coxeter groups