Quantum groups of dimension \(pq^2\)

DOI10.1007/BF02773801zbMath0898.16025OpenAlexW2009821371MaRDI QIDQ1376047

Shlomo Gelaki

Publication date: 12 October 1998

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02773801

zbMATH Keywords

group algebrasgroup-like elementssemisimple Hopf algebrasskew-primitive elementsfinite-dimensional Hopf algebrassimple subcoalgebrasbiproductsfinite-dimensional quasi-triangular Hopf algebrasgroups of Hopf algebra automorphismsHopf algebras of prime dimensionsminimal triangular Hopf algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50)

Related Items

Unnamed Item ⋮ Weakly group-theoretical and solvable fusion categories ⋮ Non-simple quasitriangular Hopf algebras of dimension \(pq^2\) ⋮ Finite quantum groups and quantum permutation groups. ⋮ Almost-triangular Hopf algebras. ⋮ Determinants, integrality and Noether's theorem for quantum commutative algebras ⋮ On Hopf algebras of dimension \(4p\). ⋮ Fusion rings arising from normal Hopf subalgebras. ⋮ On the existence of orders in semisimple Hopf algebras ⋮ Some advances about the existence of compact involutions in semisimple Hopf algebras ⋮ On semisimple Hopf algebras of dimension \(pq^2\) ⋮ Finite-dimensional simple-pointed Hopf algebras ⋮ Nonsemisimple Hopf algebras of dimension 8𝑝 with the Chevalley property ⋮ A survey of Hopf algebras of low dimension. ⋮ On twisting of finite-dimensional Hopf algebras. ⋮ Pseudotriangular weak Hopf algebras

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