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

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 specialization...

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Veröffentlicht in:Advances in mathematics (New York. 1965) 2024-05, Vol.444, p.109637, Article 109637
Hauptverfasser: Heckenberger, I., Meir, E., Vendramin, L.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0001-8708
1090-2082
DOI:10.1016/j.aim.2024.109637