Yetter-Drinfeld modules over the Hopf-Ore extension of the group algebra of dihedral group.

DOI10.1007/S10114-011-9777-4zbMath1258.16035OpenAlexW2042566414MaRDI QIDQ1758005

Hong Zhu, Hui-Xiang Chen

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-011-9777-4

zbMATH Keywords

simple Yetter-Drinfeld modulesgroup algebras of dihedral groupsHopf-Ore extensions

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Hopf algebras and their applications (16T05)

Related Items (2)

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

Cites Work

• On oriented quantum algebras derived from representations of the quantum double of a finite-dimensional Hopf algebra.
• Ore extensions of Hopf algebras.
• Constructing pointed Hopf algebras by Ore extensions
• Four-dimensional Yetter-Drinfeld module algebras over \(H_4\).
• Quantum groups and representations of monoidal categories
• An isomorphism theorem for ore extension hopf algebras
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