Notes on the Kazhdan-Lusztig theorem on equivalence of the Drinfeld category and the category of \(U_q{\mathfrak g}\)-modules

DOI10.1007/s10468-010-9223-9zbMath1305.17016arXiv0711.4302OpenAlexW3101173098MaRDI QIDQ431829

Lars Tuset, Sergey V. Neshveyev

Publication date: 3 July 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.4302

zbMATH Keywords

quantum groupsquantized enveloping algebrabraided monoidal categoryDrinfeld categoryquasi-bialgebrasunitary twist

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Quantum groups (quantized function algebras) and their representations (20G42) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (8)

Quantum orbifolds ⋮ A remark on twists and the notion of torsion-free discrete quantum groups ⋮ Ribbon braided module categories, quantum symmetric pairs and Knizhnik-Zamolodchikov equations ⋮ Equivariant comparison of quantum homogeneous spaces ⋮ Dirac operators on quantum weighted projective spaces ⋮ Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik–Zamolodchikov equations and Letzter–Kolb coideals ⋮ Symmetric invariant cocycles on the duals of \(q\)-deformations ⋮ Towards a Classification of Compact Quantum Groups of Lie Type

Cites Work

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• Quantization of Lie bialgebras. I
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• Tensor Structures Arising from Affine Lie Algebras. IV
• The Representation Category of the Quantum Group of a Non-degenerate Bilinear Form
• Kontsevich’s integral for the Kauffman polynomial
• Introduction to quantum groups
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