Nilpotent elements in Green rings of a class of pointed tensor categories of finite type

DOI10.1007/S40840-016-0408-1zbMath1391.16018OpenAlexW2513517016MaRDI QIDQ723622

Chengtao Yuan, Hua Yao, Li Bin Li

Publication date: 24 July 2018

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-016-0408-1

zbMATH Keywords

nilpotent elementGreen ringpointed tensor categoryindecomposable representation

Mathematics Subject Classification ID

Frobenius induction, Burnside and representation rings (19A22) Jacobson radical, quasimultiplication (16N20)

Cites Work

• Unnamed Item
• The Green rings of pointed tensor categories of finite type
• The Green rings of the 2-rank Taft algebra and its two relatives twisted.
• The Green ring of Drinfeld double \(D(H_4)\).
• Green rings of pointed rank one Hopf algebras of nilpotent type.
• Quivers, quasi-quantum groups and finite tensor categories.
• Green rings of pointed rank one Hopf algebras of non-nilpotent type.
• Nilpotent elements in the Green ring
• Various structures associated to the representation categories of eight-dimensional nonsemisimple Hopf algebras.
• The representation ring of the quantum double of a finite group
• The modular representation algebra of a finite group
• The Green rings of the generalized Taft Hopf algebras
• Quiver approaches to quasi-Hopf algebras
• The Green rings of Taft algebras

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