Imaginary Verma modules for \(U_q(\widehat{\mathfrak{sl}(2)})\) and crystal-like bases

DOI10.1016/j.jalgebra.2017.02.017zbMath1418.17033arXiv1509.00865OpenAlexW2593267304WikidataQ57425872 ScholiaQ57425872MaRDI QIDQ527768

Kailash C. Misra, Vyacheslav M. Futorny, Ben L. Cox

Publication date: 12 May 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.00865

zbMATH Keywords

quantum affine algebrascrystal basesimaginary Verma modulesKashiwara algebras

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 (2)

Localization of highest weight modules of a class of extended affine Lie algebras ⋮ Imaginary crystal bases for 𝑈_{𝑞}(̂𝔰𝔩(2))-modules in category 𝒪^{𝓆}_{𝓇ℯ𝒹,𝒾𝓂}

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