Representations of the small nonstandard quantum groups X¯q(A1)

DOI10.1080/00927872.2019.1612412zbMath1468.16047OpenAlexW2947329228MaRDI QIDQ5238148

Shilin Yang, Dong Su

Publication date: 28 October 2019

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

Full work available at URL: https://doi.org/10.1080/00927872.2019.1612412

zbMATH Keywords

tensor productindecomposable modulenonstandard quantum group

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Frobenius induction, Burnside and representation rings (19A22) Ring-theoretic aspects of quantum groups (16T20)

Cites Work

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• The Green ring of Drinfeld double \(D(H_4)\).
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• Biinvertible actions of Hopf algebras
• Green rings of weak Hopf algebras based on generalized Taft algebras
• Tame biserial algebras
• A new quantum group associated with a `nonstandard' braid group representation
• A quiver quantum group
• Modules over \(\mathfrak U_ q(\mathfrak s\mathfrak l_ 2)\)
• Indecomposable restricted representations of quantum \(sl_ 2\)
• Monoidal structure of the category of \(u^+_q\)-modules.
• Representations of quantum algebras
• Automorphism group of representation ring of the weak Hopf algebra $\widetilde{H_8}$
• The Green rings of the generalized Taft Hopf algebras
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• New solutions of Yang-Baxter equations: Birman-Wenzl algebra and quantum group structures
• Injective Modules for Quantum Algebras
• Finite Dimensional Representations of U_t(sl (2)) at Roots of Unity
• The multiparametric non-standard deformation of A_n-1
• Nonstandard quantum groups and superization
• REPRESENTATIONS OF SIMPLE POINTED HOPF ALGEBRAS
• WEAK HOPF ALGEBRAS CORRESPONDING TO NON-STANDARD QUANTUM GROUPS
• Representation rings of small quantum groups U¯q(sl2)
• The Green rings of Taft algebras

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