Nichols algebras with many cubic relations over small and dihedral quandles.

DOI10.1007/s11565-015-0224-9zbMath1343.16025OpenAlexW2149296921MaRDI QIDQ895820

Andreas Lochmann

Publication date: 7 December 2015

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-015-0224-9

zbMATH Keywords

Yetter-Drinfeld modulesNichols algebrasaffine quandlesdihedral quandlesplagues

Mathematics Subject Classification ID

Loops, quasigroups (20N05) Hopf algebras and their applications (16T05)

Uses Software

• GAP
• RiG

Cites Work

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• Braided racks, Hurwitz actions and Nichols algebras with many cubic relations.
• Finite-dimensional pointed Hopf algebras with alternating groups are trivial.
• Connected quandles and transitive groups
• Hurwitz equivalence in tuples of generalized quaternion groups and dihedral groups.
• From racks to pointed Hopf algebras
• Braids and self-distributivity
• ON THE CLASSIFICATION OF QUANDLES OF LOW ORDER
• On Nichols algebras associated to simple racks
• Distributive division groupoids
• On Twisted homogeneous racks of type D
• Nichols algebras with many cubic relations