Finite dimensional Hopf algebras over Kac-Paljutkin algebra $H_8$

zbMath1475.17026arXiv1612.03262MaRDI QIDQ5227513

Yuxing Shi

Publication date: 6 August 2019

Full work available at URL: https://arxiv.org/abs/1612.03262

zbMATH Keywords

Hopf algebraNichols algebraGelfand-Kirillov dimensionKac Paljutkin algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Universal enveloping (super)algebras (17B35) Hopf algebras and their applications (16T05)

Related Items (8)

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 \(A_{N\,2n}^{\mu\lambda}\) ⋮ The Grothendieck ring of Yetter-Drinfeld modules over a class of 2n²-dimensional Kac-Paljutkin Hopf algebras ⋮ Projective class rings of the category of Yetter-Drinfeld modules over the 2-rank taft algebra ⋮ Finite-dimensional Hopf algebras over the Hopf algebra \(H_{d:-1,1}\) of Kashina ⋮ Finite-dimensional Hopf algebras over the Hopf algebra \(H_{b:1}\) of Kashina ⋮ Grothendieck rings of a class of Hopf algebras of Kac-Paljutkin type ⋮ On some classification of finite-dimensional Hopf algebras over the Hopf algebra Hb:1* of Kashina

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