The classification of Nichols algebras over groups with finite root system of rank two

DOI10.4171/JEMS/711zbMath1391.16036arXiv1311.2881MaRDI QIDQ2359443

Leandro Vendramin, István Heckenberger

Publication date: 28 June 2017

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.2881

zbMATH Keywords

Hopf algebraNichols algebraWeyl groupoid

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Hopf algebras and their applications (16T05)

Related Items (13)

Multinomial expansion and Nichols algebras associated to non-degenerate involutive solutions of the Yang-Baxter equation ⋮ Generalized nil-Coxeter algebras ⋮ The cohomology ring of the 12-dimensional Fomin-Kirillov algebra ⋮ Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type. IV: Unipotent classes in Chevalley and Steinberg groups ⋮ Finite-dimensional Nichols algebras over the Suzuki algebras. I: Simple Yetter-Drinfeld modules of \(A_{N\,2n}^{\mu\lambda}\) ⋮ New large-rank Nichols algebras over nonabelian groups with commutator subgroup \(\mathbb Z_2\). ⋮ Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type VII. Semisimple classes in \(\mathbf{PSL}_n (q)\) and \(\mathbf{PSp}_{2n}(q)\) ⋮ Nichols algebras over groups with finite root system of rank two. III. ⋮ Copointed Hopf algebras over \(\mathbb{S}_4\) ⋮ A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups ⋮ Pointed Hopf algebras over non abelian groups with decomposable braidings. I. ⋮ On the Tits cone of a Weyl groupoid ⋮ Generalized nil-Coxeter algebras over discrete complex reflection groups

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