Finite-dimensional pointed or copointed Hopf algebras over affine racks.

DOI10.1016/j.jalgebra.2013.09.009zbMath1301.16032arXiv1210.6396OpenAlexW2963218358MaRDI QIDQ405876

Agustín García Iglesias, Cristian Vay

Publication date: 8 September 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.6396

zbMATH Keywords

pointed Hopf algebrasgraded Hopf algebrasNichols algebrascocycle deformationsaffine rackscopointed Hopf algebras

Mathematics Subject Classification ID

Hopf algebras and their applications (16T05)

Related Items (16)

Finite dimensional Hopf algebras over Kac-Paljutkin algebra $H_8$ ⋮ On the computation of Hopf 2-cocycles with an example of diagonal type ⋮ Lifting via cocycle deformation. ⋮ Twisting Hopf algebras from cocycle deformations ⋮ Finite-dimensional Hopf algebras over the Hopf algebra \(H_{d:-1,1}\) of Kashina ⋮ Finite-dimensional Hopf algebras over the Hopf algebra \(H_{b:1}\) of Kashina ⋮ Coverings of graded pointed Hopf algebras. ⋮ Pointed Hopf algebras: a guided tour to the liftings ⋮ On finite-dimensional copointed Hopf algebras over dihedral groups ⋮ Copointed Hopf algebras over \(\mathbb{S}_4\) ⋮ Liftings of Nichols algebras of diagonal type III. Cartan type \(G_{2}\) ⋮ Representations of copointed Hopf algebras arising from the tetrahedron rack. ⋮ PBW deformations of a Fomin-Kirillov algebra and other examples ⋮ Pointed Hopf algebras over non abelian groups with decomposable braidings. I. ⋮ Finite-dimensional Nichols algebras over dual Radford algebras ⋮ On some classification of finite-dimensional Hopf algebras over the Hopf algebra Hb:1* of Kashina

Uses Software

• GAP
• GBNP

Cites Work

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