Quantization of Lie bialgebras. VI: Quantization of generalized Kac-Moody algebras

DOI10.1007/s00031-008-9029-6zbMath1191.17004arXivmath/0004042OpenAlexW2124765286WikidataQ115389524 ScholiaQ115389524MaRDI QIDQ1024611

Pavel I. Etingof, D. A. Kazhdan

Publication date: 17 June 2009

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0004042

zbMATH Keywords

isomorphismDrinfeld-Jimbo quantization of Lie bialgebraimage of a Kac-Moody Lie bialgebra with the standard quasitriangular structure

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (16)

Categorifications and cyclotomic rational double affine Hecke algebras. ⋮ BGG categories in prime characteristics ⋮ Classification of Lie bialgebras over current algebras ⋮ Quantization of Schrödinger-Virasoro Lie algebra ⋮ Stokes phenomena, Poisson-Lie groups and quantum groups ⋮ Monodromy of the Casimir connection of a symmetrisable Kac-Moody algebra ⋮ Notes on the Kazhdan-Lusztig theorem on equivalence of the Drinfeld category and the category of \(U_q{\mathfrak g}\)-modules ⋮ Quantum supergroups. III: Twistors ⋮ Quantization of the Lie superalgebra of Witt type ⋮ Quantization of \(\Gamma \)-Lie bialgebras ⋮ Comparison of unitary duals of Drinfeld doubles and complex semisimple Lie groups ⋮ A 2-categorical extension of Etingof-Kazhdan quantisation ⋮ The Drinfeld-Kohno theorem for the superalgebra \({\mathfrak{gl}}(1|1)\) ⋮ Lie super-bialgebra and quantization of the super Virasoro algebra ⋮ Coxeter categories and quantum groups ⋮ Twisted quantum affinizations and quantization of extended affine lie algebras

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• Quantization of Lie bialgebras. I
• Compatibility of quantization functors of Lie bialgebras with duality and doubling operations
• FINITENESS OF $ E(\mathbf{Q})$ AND $ \textrm{Ø}(E,\mathbf{Q})$ FOR A SUBCLASS OF WEIL CURVES
• Tensor Structures Arising from Affine Lie Algebras. IV

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