Pointed Hopf algebras over nonabelian groups with nonsimple standard braidings

DOI10.1112/plms.12559arXiv2206.10726MaRDI QIDQ6185890

Simon Lentner, Iván Ezequiel Angiono, Guillermo Sanmarco

Publication date: 9 January 2024

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.10726

zbMATH Keywords

pointed Hopf algebrasNichols algebrasfolding constructionlifting method

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hopf algebras and their applications (16T05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Distinguished pre-Nichols algebras
• Right coideal subalgebras of Nichols algebras and the Duflo order on the Weyl groupoid.
• Lifting via cocycle deformation.
• New large-rank Nichols algebras over nonabelian groups with commutator subgroup \(\mathbb Z_2\).
• Braided racks, Hurwitz actions and Nichols algebras with many cubic relations.
• On rigidity of Nichols algebras
• A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups
• Fusion categories and homotopy theory
• Nichols algebras over groups with finite root system of rank two. I.
• On finite dimensional Nichols algebras of diagonal type
• 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.
• Nichols algebras with standard braiding
• Kazhdan-Lusztig correspondence for the representation category of the triplet \(W\)-algebra in logarithmic CFT
• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• From racks to pointed Hopf algebras
• Finite quantum groups and Cartan matrices
• Liftings of Nichols algebras of diagonal type II: All liftings are cocycle deformations
• De-equivariantization of Hopf algebras.
• Geometric perspective on Nichols algebras
• Quantum groups and Nichols algebras acting on conformal field theories
• Pointed Hopf algebras over non abelian groups with decomposable braidings. I.
• A generalization of Coxeter groups, root systems, and Matsumoto's theorem.
• The Weyl groupoid of a Nichols algebra of diagonal type
• On the second cohomology groups of semidirect products
• Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type. V: Mixed classes in Chevalley and Steinberg groups
• On Nichols algebras of diagonal type
• Finite Weyl groupoids of rank three
• Crossed products for pointed hopf algebras
• Multiplication alteration by two-cocycles - the quantum version
• An Introduction to Nichols Algebras
• Liftings of Nichols Algebras of Diagonal Type I. Cartan Type A
• Hopf Algebras and Root Systems
• The Brauer-Picard group of the representation category of finite supergroup algebras
• Tensor Categories
• Introduction to quantum groups
• Quantum invariants of knots and 3-manifolds
• Non-semisimple topological quantum field theories for 3-manifolds with corners
• Finite GK-dimensional pre-Nichols algebras of super and standard type

This page was built for publication: Pointed Hopf algebras over nonabelian groups with nonsimple standard braidings