Finite-dimensional representations of a quantum double

DOI10.1006/jabr.2002.9144zbMath1019.16025OpenAlexW2094787429MaRDI QIDQ1851335

Hui-Xiang Chen

Publication date: 16 December 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2002.9144

zbMATH Keywords

Auslander-Reiten quiversDrinfeld doublesirreducible modulesalmost split sequencesfinite-dimensional representationsTaft Hopf algebrasribbon quasi-triangular Hopf algebras

Mathematics Subject Classification ID

Related Items (16)

Indecomposable decomposition of tensor products of modules over Drinfeld doubles of Taft algebras ⋮ Tensor representations for the Drinfeld double of the Taft algebra ⋮ McKay matrices for finite-dimensional Hopf algebras ⋮ Hopf \(*\)-algebra structures on \(H(1,q)\). ⋮ Examples of non-semisimple Hopf algebra actions on Artin-Schelter regular algebras ⋮ Representation rings of small quantum groups U¯q(sl2) ⋮ Grothendieck Groups of a Class of Quantum Doubles ⋮ Green rings of Drinfeld doubles of Taft algebras ⋮ The Green ring of Drinfeld double \(D(H_4)\). ⋮ Generic Modules Over a Class of Drinfeld's Quantum Doubles ⋮ REPRESENTATIONS OF A CLASS OF DRINFELD'S DOUBLES ⋮ The Green rings of Taft algebras ⋮ Quantum double of \(\text U_q((\mathfrak{sl}_2)^{\leqslant 0})\) ⋮ Four-dimensional Yetter-Drinfeld module algebras over \(H_4\). ⋮ Representations of pointed Hopf algebras and their Drinfel'd quantum doubles. ⋮ Representations of Hopf-Ore extensions of group algebras and pointed Hopf algebras of rank one.

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