Generic modules over the quantum group \(U_t(sl(2))\) at \(t\) a root of unit

DOI10.1007/BF02567601zbMath0813.17008MaRDI QIDQ1328178

Jie Xiao

Publication date: 6 September 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155948

zbMATH Keywords

generic modulesinfinite dimensional modulesquantum group \(U_t(sl(2))\)

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37)

Related Items (5)

On the indecomposable modules of \(\mathcal U_q(sl(2))\) constructed via Ore-extension ⋮ Yoneda algebras of the triplet vertex operator algebra ⋮ Generic Modules Over a Class of Drinfeld's Quantum Doubles ⋮ Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to \(\mathfrak{sl}_2\) ⋮ Braid group action on projective quantum \(\mathfrak{sl}(2)\) modules

Cites Work

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• Tame algebras and integral quadratic forms
• 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
• The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\)
• Category of \(\mathfrak g\) modules
• Ribbon graphs and their invariants derived from quantum groups
• Invariants of 3-manifolds via link polynomials and quantum groups
• Representations of quantum algebras
• Indecomposable representations of graphs and algebras
• Irreducible representations of a simple three-dimensional lie algebra over a field of finite characteristic

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