New large-rank Nichols algebras over nonabelian groups with commutator subgroup \(\mathbb Z_2\).

DOI10.1016/j.jalgebra.2014.07.017zbMath1306.16029arXiv1306.5684OpenAlexW2963494033MaRDI QIDQ406584

Simon Lentner

Publication date: 8 September 2014

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

Full work available at URL: https://arxiv.org/abs/1306.5684

zbMATH Keywords

Yetter-Drinfeld modulescovering Hopf algebrasfinite-dimensional Nichols algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hopf algebras and their applications (16T05) Root systems (17B22)

Related Items (9)

Algebras of non-local screenings and diagonal Nichols algebras ⋮ Root Systems In Finite Symplectic Vector Spaces ⋮ Pointed Hopf algebras over nonabelian groups with nonsimple standard braidings ⋮ Quantum groups and Nichols algebras acting on conformal field theories ⋮ Coverings of graded pointed Hopf algebras. ⋮ A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups ⋮ A simplicial complex of Nichols algebras ⋮ Factorization of graded traces on Nichols algebras ⋮ New \(R\)-matrices for small quantum groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Braided racks, Hurwitz actions and Nichols algebras with many cubic relations.
• Nichols algebras of group type with many quadratic relations.
• Skew-symmetric vanishing lattices and their monodromy groups
• Algebraic geometry and number theory. In Honor of Vladimir Drinfeld's 50th birthday
• Abelian and non-Abelian second cohomologies of quantized enveloping algebras
• Classification of arithmetic root systems
• On the classification of finite-dimensional pointed Hopf algebras.
• Pointed Hopf algebras over some sporadic simple groups.
• Monodromy groups of critical point of functions
• From racks to pointed Hopf algebras
• The classification of Nichols algebras over groups with finite root system of rank two
• Rank 2 Nichols algebras with finite arithmetic root system
• Root systems and Weyl groupoids for Nichols algebras
• The Nichols algebra of a semisimple Yetter-Drinfeld module
• Root Systems In Finite Symplectic Vector Spaces
• PBW-bases of coideal subalgebras and a freeness theorem
• On Nichols algebras over SL(2,Fq) and GL(2,Fq)
• Indecomposable Coalgebras, Simple Comodules, and Pointed Hopf Algebras

This page was built for publication: New large-rank Nichols algebras over nonabelian groups with commutator subgroup \(\mathbb Z_2\).