The generalized Green ring of category \(\widetilde{\mathcal{O}}\) of \(\mathfrak{sl}_2\)

DOI10.12386/B20230357MaRDI QIDQ6632015

Cai E Lv, Caixia Shen, Limeng Xia

Publication date: 4 November 2024

Published in: Acta Mathematica Sinica. Chinese Series (Search for Journal in Brave)

zbMATH Keywords

tensor categoryBGG categorygeneralized Green ring

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Hopf algebras, quantum groups and related topics (16T99)

Cites Work

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• 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.
• Tensoring with infinite-dimensional modules in \(\mathcal {O}_0\)
• Green rings of pointed rank one Hopf algebras of non-nilpotent type.
• Category \(\mathcal O\) for quantum groups
• The modular representation algebra of a finite group
• The Green rings of the generalized Taft Hopf algebras

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