A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups

DOI10.4171/JEMS/667zbMath1396.16025arXiv1412.0857OpenAlexW1512832802MaRDI QIDQ515322

Leandro Vendramin, István Heckenberger

Publication date: 13 March 2017

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

Full work available at URL: https://arxiv.org/abs/1412.0857

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 (14)

Multinomial expansion and Nichols algebras associated to non-degenerate involutive solutions of the Yang-Baxter equation ⋮ Finite-dimensional Nichols algebras over the Suzuki algebras. I: Simple Yetter-Drinfeld modules of \(A_{N\,2n}^{\mu\lambda}\) ⋮ Pointed Hopf algebras over nonabelian groups with nonsimple standard braidings ⋮ On Nichols algebras over basic Hopf algebras ⋮ On subsequences of quiddity cycles and Nichols algebras ⋮ Quantum groups and Nichols algebras acting on conformal field theories ⋮ On finite dimensional Nichols algebras of diagonal type ⋮ A simplicial complex of Nichols algebras ⋮ Rank three Nichols algebras of diagonal type over arbitrary fields ⋮ A bound for crystallographic arrangements ⋮ Factorization of graded traces on Nichols algebras ⋮ 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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