Pointed Hopf algebras: a guided tour to the liftings
From MaRDI portal
Publication:3296956
DOI10.15446/recolma.v53nsupl.83958zbMath1446.16031arXiv1807.07154OpenAlexW3000470406MaRDI QIDQ3296956
Agustín García Iglesias, Iván Ezequiel Angiono
Publication date: 2 July 2020
Published in: Revista Colombiana de Matemáticas (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.07154
Related Items (6)
Delta sets and polynomial identities in pointed Hopf algebras ⋮ New approaches to finite generation of cohomology rings ⋮ Pointed Hopf algebras over non abelian groups with decomposable braidings. I. ⋮ Examples of liftings of modular and unidentified type: 𝔲𝔣𝔬(7,8) and 𝔟𝔯(2,a) ⋮ Group gradings and actions of pointed Hopf algebras ⋮ Two-cocycles and cleft extensions in left braided categories
Cites Work
- Unnamed Item
- Unnamed Item
- Distinguished pre-Nichols algebras
- Lifting via cocycle deformation.
- Finite-dimensional pointed or copointed Hopf algebras over affine racks.
- Liftings of Nichols algebras of diagonal type III. Cartan type \(G_{2}\)
- Representations of the category of modules over pointed Hopf algebras over \(\mathbb S_3\) and \(\mathbb S_4\).
- On a family of Hopf algebras of dimension 72.
- A presentation by generators and relations of Nichols algebras of diagonal type and convex orders on root systems.
- Abelian and non-Abelian second cohomologies of quantized enveloping algebras
- Classification of arithmetic root systems
- On the classification of finite-dimensional pointed Hopf algebras.
- Lifting of quantum linear spaces and pointed Hopf algebras of order \(p^3\)
- Twisting Hopf algebras from cocycle deformations
- Liftings of Nichols algebras of diagonal type II: All liftings are cocycle deformations
- On finite-dimensional copointed Hopf algebras over dihedral groups
- Copointed Hopf algebras over \(\mathbb{S}_4\)
- Lifting of Nichols algebras of type \(B_2\). (With an appendix ``A generalization of the \(q\)-binomial theorem with I. Rutherford).
- Cohomology of Abelian matched pairs and the Kac sequence.
- On the structure of (co-Frobenius) Hopf algebras.
- Deformation by cocycles of pointed Hopf algebras over non-abelian groups.
- A finite-dimensional Lie algebra arising from a Nichols algebra of diagonal type (rank 2)
- On Nichols algebras of diagonal type
- On the Lifting of Nichols Algebras
- Finite Dimensional Hopf Algebras Over the Dual Group Algebra of the Symmetric Group in Three Letters
- Crossed products for pointed hopf algebras
- Liftings of Nichols Algebras of Diagonal Type I. Cartan Type A
- Hopf bigalois extensions
- On finite GK-dimensional Nichols algebras of diagonal type
This page was built for publication: Pointed Hopf algebras: a guided tour to the liftings