On the indecomposable modules of \(\mathcal U_q(sl(2))\) constructed via Ore-extension

DOI10.1007/s10114-013-1426-7zbMath1275.17031OpenAlexW2170762431MaRDI QIDQ353618

Zhi Hua Wang, Li Bin Li

Publication date: 16 July 2013

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

Full work available at URL: https://doi.org/10.1007/s10114-013-1426-7

zbMATH Keywords

quantum groupmoduleweightOre extension

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ordinary and skew polynomial rings and semigroup rings (16S36)

Cites Work

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• On the representation ring of the polynomial algebra over a perfect field
• Quantum deformations of certain simple modules over enveloping algebras
• Finite dimensional representations of the quantum analog of the enveloping algebra of a complex simple Lie algebra
• Generic modules over the quantum group \(U_t(sl(2))\) at \(t\) a root of unit
• Constructing indecomposable representations over quantum group \({\mathcal U}_q(\text{sl}(2))\).
• Invariants of 3-manifolds via link polynomials and quantum groups
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• Finite Dimensional Representations of U_t(sl (2)) at Roots of Unity

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