Braided racks, Hurwitz actions and Nichols algebras with many cubic relations.

DOI10.1007/s00031-012-9176-7zbMath1255.16034arXiv1103.4526OpenAlexW3104576311MaRDI QIDQ430782

J. Herrera, H. S. Yoon

Publication date: 26 June 2012

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4526

zbMATH Keywords

Hopf algebrasNichols algebras3-transposition groupsbraided racksHurwitz actionsirreducible Yetter-Drinfeld modules

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Hopf algebras and their applications (16T05)

Related Items (13)

The classification of Nichols algebras over groups with finite root system of rank two ⋮ Finite dimensional Hopf algebras over Kac-Paljutkin algebra $H_8$ ⋮ Divisibility relations for the dimensions and Hilbert series of Nichols algebras of non-Abelian group type. ⋮ Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type. V: Mixed classes in Chevalley and Steinberg groups ⋮ Finite-dimensional pointed or copointed Hopf algebras over affine racks. ⋮ New large-rank Nichols algebras over nonabelian groups with commutator subgroup \(\mathbb Z_2\). ⋮ Nichols algebras with many cubic relations over small and dihedral quandles. ⋮ Pointed Hopf algebras over nonabelian groups with nonsimple standard braidings ⋮ Coverings of graded pointed Hopf algebras. ⋮ Representations of copointed Hopf algebras arising from the tetrahedron rack. ⋮ Factorization of graded traces on Nichols algebras ⋮ From Hopf Algebras to Tensor Categories ⋮ Nichols algebras with many cubic relations

Uses Software

• GAP
• GBNP

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