Nichols algebras over groups with finite root system of rank two. I.

DOI10.1016/j.jalgebra.2010.06.021zbMath1219.16032OpenAlexW2078483757MaRDI QIDQ626706

Hans-Juergen Schneider, István Heckenberger

Publication date: 18 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.06.021

zbMATH Keywords

Yetter-Drinfeld modulespointed Hopf algebrasNichols algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Hopf algebras and their applications (16T05) Root systems (17B22)

Related Items

The classification of Nichols algebras over groups with finite root system of rank two ⋮ Finite dimensional Hopf algebras over Kac-Paljutkin algebra $H_8$ ⋮ Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type. IV: Unipotent classes in Chevalley and Steinberg groups ⋮ Pointed Hopf algebras over nonabelian groups with nonsimple standard braidings ⋮ Finite-dimensional Hopf algebras over the Hopf algebra \(H_{b:1}\) of Kashina ⋮ Nichols algebras over groups with finite root system of rank two. III. ⋮ A classification of Nichols algebras of semisimple Yetter-Drinfeld modules over non-abelian groups ⋮ Rank three Nichols algebras of diagonal type over arbitrary fields ⋮ On Hopf algebras over quantum subgroups ⋮ Pointed Hopf algebras over non abelian groups with decomposable braidings. I.

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