Classifying pointed hopf algebras of dimension 16

DOI10.1080/00927870008826843zbMath0952.16030OpenAlexW2000358772MaRDI QIDQ4944373

Serban Raianu, Sorin Dascalescu, Stefaan Caenepeel

Publication date: 28 August 2000

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

Full work available at URL: https://doi.org/10.1080/00927870008826843

zbMATH Keywords

group algebrasliftingspointed Hopf algebrasquantum linear spaces

Mathematics Subject Classification ID

Related Items (16)

Pointed hopf algebras with large coradical ⋮ Finite quantum groups over abelian groups of prime exponent ⋮ The isolated quantum group of the \(\mathrm{GL}_2\) family ⋮ Almost involutive Hopf-Ore extensions of low dimension ⋮ Classifying bicrossed products of two Sweedler’s Hopf algebras ⋮ On non-connected pointed Hopf algebras of dimension 16 in characteristic 2 ⋮ The Green rings of the 2-rank Taft algebra and its two relatives twisted. ⋮ Partial actions of a Hopf algebra on its base field and the corresponding partial smash product algebra ⋮ Quantum lines over non-cocommutative cosemisimple Hopf algebras. ⋮ Constructing pointed Hopf algebras by Ore extensions ⋮ An isomorphism theorem for ore extension hopf algebras ⋮ Hopf algebras of dimension 16. ⋮ Duals of pointed Hopf algebras ⋮ A survey of Hopf algebras of low dimension. ⋮ Pointed hopf algebras of dimension 32 ⋮ Finite quantum groups and Cartan matrices

Cites Work

• Pointed Hopf algebras of dimension \(p^3\)
• On pointed ribbon Hopf algebras
• Constructing pointed Hopf algebras by Ore extensions
• A Hopf Algebra Freeness Theorem
• Finitely annihilated modules and orders in artinian rings
• Hopf subalgebras of pointed Hopf algebras and applications
• An isomorphism theorem for ore extension hopf algebras
• Graded Brauer Groups.
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