A CRITERION FOR THE JACOBSON SEMISIMPLICITY OF THE GREEN RING OF A FINITE TENSOR CATEGORY

DOI10.1017/S0017089517000246zbMath1444.16025OpenAlexW2760062224MaRDI QIDQ4600323

Yinhuo Zhang, Li Bin Li, Zhi Hua Wang

Publication date: 8 January 2018

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089517000246

zbMATH Keywords

Green ringJacobson semisimplicity

Mathematics Subject Classification ID

Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Hopf algebras and their applications (16T05) Monoidal categories, symmetric monoidal categories (18M05)

Related Items (5)

Classification of fusion categories generated by a self-dual simple object of FP-dimension 2 ⋮ The Grothendieck rings of Wu–Liu–Ding algebras and their Casimir numbers (I) ⋮ The Grothendieck rings of Wu-Liu-Ding algebras and their Casimir numbers (II) ⋮ THE CASIMIR NUMBER AND THE DETERMINANT OF A FUSION CATEGORY ⋮ Remarks on Sekine quantum groups

Cites Work

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• The Green rings of the 2-rank Taft algebra and its two relatives twisted.
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• The Green ring of a finite group
• Tame algebras and integral quadratic forms
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• On the representation ring of the polynomial algebra over a perfect field
• Nilpotent elements in the Green ring
• The factorization of Dickson polynomials over finite fields
• Factoring Dickson polynomials over finite fields
• Representation rings of quantum groups.
• The representation ring of the quantum double of a finite group
• A transfer theorem for modular representations
• The modular representation algebra of a finite group
• Nilpotent elements in representation rings
• Some applications of Frobenius algebras to Hopf algebras
• The Green rings of the generalized Taft Hopf algebras
• Tensor Categories
• The Green rings of Taft algebras
• On Orders In Separable Algebras

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