Quantum Deformations of Imaginary Verma Modules

DOI10.1112/S0024611597000038zbMath0890.17021OpenAlexW2008990380WikidataQ127769916 ScholiaQ127769916MaRDI QIDQ4344054

Seok-Jin Kang, Ben L. Cox, Vyacheslav M. Futorny, Duncan J. Melville

Publication date: 7 July 1997

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0024611597000038

zbMATH Keywords

quantum groupquantum deformationsimaginary Verma modulesPBW theorem

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Related Items (6)

An imaginary PBW basis for quantum affine algebras of type 1 ⋮ Localization of highest weight modules of a class of extended affine Lie algebras ⋮ Imaginary Verma modules for \(U_q(\widehat{\mathfrak{sl}(2)})\) and crystal-like bases ⋮ Verma-type modules for quantum affine Lie algebras ⋮ Imaginary Verma modules and Kashiwara algebras for \(U_q(\hat{\mathfrak{g}})\) ⋮ Imaginary crystal bases for 𝑈_{𝑞}(̂𝔰𝔩(2))-modules in category 𝒪^{𝓆}_{𝓇ℯ𝒹,𝒾𝓂}

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