The Green rings of the 2-rank Taft algebra and its two relatives twisted.

DOI10.1016/j.jalgebra.2014.04.006zbMath1342.16028arXiv1305.1444OpenAlexW2157467441MaRDI QIDQ403103

Yunnan Li, Hu, Naihong

Publication date: 29 August 2014

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

Full work available at URL: https://arxiv.org/abs/1305.1444

zbMATH Keywords

representation ringsTaft algebrasGreen ringsHopf algebras of tame representation typetwist-equivalent Hopf algebras

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Representations of associative Artinian rings (16G10) Frobenius induction, Burnside and representation rings (19A22) Hopf algebras and their applications (16T05)

Related Items (17)

Indecomposable decomposition of tensor products of modules over Drinfeld doubles of Taft algebras ⋮ Tensor product decomposition rules for weight modules over the Hopf–Ore extensions of group algebras ⋮ Realization of \(U_q({\mathfrak{sp}}_{2n})\) within the differential algebra on quantum symplectic space ⋮ Projective class rings of the category of Yetter-Drinfeld modules over the 2-rank taft algebra ⋮ 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 ⋮ Green rings of pointed rank one Hopf algebras of non-nilpotent type. ⋮ Representation rings of small quantum groups U¯q(sl2) ⋮ Green rings of Drinfeld doubles of Taft algebras ⋮ The corepresentation ring of a pointed Hopf algebra of rank one ⋮ Idempotents of the Green algebras of finite dimensionalpointed rank one Hopf algebras of nilpotent type ⋮ Green rings of pointed rank one Hopf algebras of nilpotent type. ⋮ Drinfeld doubles of the \(n\)-rank Taft algebras and a generalization of the Jones polynomial ⋮ Nilpotent elements in Green rings of a class of pointed tensor categories of finite type ⋮ Another admissible quantum affine algebra of type \(A_1^{(1)}\) with quantum Weyl group ⋮ Bilinear forms on the Green rings of finite dimensional Hopf algebras ⋮ Grothendieck rings of a class of Hopf algebras of Kac-Paljutkin type

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