The Green ring of Drinfeld double \(D(H_4)\).

DOI10.1007/s10468-013-9456-5zbMath1309.16020arXiv1209.3471OpenAlexW3099951863MaRDI QIDQ471765

Hui-Xiang Chen

Publication date: 17 November 2014

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.3471

zbMATH Keywords

tensor productsindecomposable modulesLoewy lengthsDrinfeld doubleGreen ringsfour-dimensional Sweedler Hopf algebra

Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22) Hopf algebras and their applications (16T05)

Related Items (18)

Indecomposable decomposition of tensor products of modules over Drinfeld doubles of Taft algebras ⋮ The cell modules of the Green algebra of Drinfel'd quantum double \(D(H_4)\) ⋮ Tensor product decomposition rules for weight modules over the Hopf–Ore extensions of group algebras ⋮ The Green rings of the 2-rank Taft algebra and its two relatives twisted. ⋮ Examples of non-semisimple Hopf algebra actions on Artin-Schelter regular algebras ⋮ A CRITERION FOR THE JACOBSON SEMISIMPLICITY OF THE GREEN RING OF A FINITE TENSOR CATEGORY ⋮ Reconstruction of tensor categories from their structure invariants ⋮ Green rings of pointed rank one Hopf algebras of non-nilpotent type. ⋮ Representation rings of small quantum groups U¯q(sl2) ⋮ Unnamed Item ⋮ Green rings of Drinfeld doubles of Taft algebras ⋮ The corepresentation ring of a pointed Hopf algebra of rank one ⋮ Green rings of pointed rank one Hopf algebras of nilpotent type. ⋮ Some Hopf algebras related to sl2 ⋮ Nilpotent elements in Green rings of a class of pointed tensor categories of finite type ⋮ On the representation theory of the Drinfeld double of the Fomin-Kirillov algebra \(\mathcal{FK}_3 \) ⋮ Bilinear forms on the Green rings of finite dimensional Hopf algebras ⋮ Representations of the small nonstandard quantum groups X¯q(A1)

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