Nichols algebras that are quantum planes

DOI10.1080/03081087.2017.1331997zbMath1392.16025arXiv1702.02506OpenAlexW2588305035MaRDI QIDQ4643703

Nicolás Andruskiewitsch, João Matheus Jury Giraldi

Publication date: 28 May 2018

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.02506

zbMATH Keywords

Hopf algebrasNichols algebrasquantum planes

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hopf algebras and their applications (16T05) Yang-Baxter equations (16T25)

Related Items (11)

Multinomial expansion and Nichols algebras associated to non-degenerate involutive solutions of the Yang-Baxter equation ⋮ Homological invariants relating the super Jordan plane to the Virasoro algebra ⋮ Finite-dimensional Nichols algebras over the Suzuki algebras. I: Simple Yetter-Drinfeld modules of \(A_{N\,2n}^{\mu\lambda}\) ⋮ On Hopf algebras over basic Hopf algebras of dimension 24 ⋮ Finite-dimensional Hopf algebras over the Hopf algebra \(H_{b:1}\) of Kashina ⋮ On finite dimensional Nichols algebras of diagonal type ⋮ Quantum function algebras from finite-dimensional Nichols algebras ⋮ On Hopf algebras over the unique 12-dimensional Hopf algebra without the dual Chevalley property ⋮ Finite-dimensional Nichols algebras over dual Radford algebras ⋮ Classification of finite-dimensional Hopf algebras over dual Radford algebras ⋮ Examples of Nichols algebras associated to upper triangular solutions of the Yang–Baxter equation in rank 3

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