Indecomposable restricted representations of quantum \(sl_ 2\)

DOI10.2977/prims/1195166137zbMath0816.17007OpenAlexW1604589878MaRDI QIDQ1331254

Vyjayanthi Chari, Alexander Premet

Publication date: 21 August 1994

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195166137

zbMATH Keywords

quantum groupsroot of unityindecomposable representationsFrobenius kernelrestricted representations

Mathematics Subject Classification ID

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

Related Items (11)

Indecomposable decomposition of tensor products of modules over Drinfeld doubles of Taft algebras ⋮ On projective modules over finite quantum groups ⋮ The Green rings of the 2-rank Taft algebra and its two relatives twisted. ⋮ Tensor product Markov chains ⋮ Derived counterparts of fusion categories of quantum groups ⋮ Representation rings of small quantum groups U¯q(sl2) ⋮ Unnamed Item ⋮ Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to \(\mathfrak{sl}_2\) ⋮ Representations of the small nonstandard quantum groups X¯q(A1) ⋮ On the structure of ${\rm End}_{u_k(2)}(\Omega _k^{\otimes r})$ End uk(2)(Ωk⊗r) ⋮ Loewy filtration and quantum de Rham cohomology over quantum divided power algebra

Cites Work

• Support varieties for restricted Lie algebras
• Reducible p-representations of a simple three-dimensional Lie p-algebra
• 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
• Brauer-type reciprocity for a class of graded associative algebras
• Invariants of 3-manifolds via link polynomials and quantum groups
• Finite Dimensional Hopf Algebras Arising From Quantized Universal Enveloping Algebras
• An Associative Orthogonal Bilinear Form for Hopf Algebras
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