Crystal bases for reduced imaginary Verma modules of untwisted quantum affine algebras

DOI10.1016/j.jalgebra.2023.09.007MaRDI QIDQ6565644

Kailash C. Misra, Juan Camilo Arias, Vyacheslav Futorny

Publication date: 2 July 2024

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

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)

Cites Work

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• Imaginary Verma modules for \(U_q(\widehat{\mathfrak{sl}(2)})\) and crystal-like bases
• On crystal bases of the \(q\)-analogue of universal enveloping algebras
• A new class of unitarizable highest weight representations of infinite- dimensional Lie algebras. II
• Braid group action and quantum affine algebras
• Verma-type modules for quantum affine Lie algebras
• Imaginary Verma modules and Kashiwara algebras for \(U_q(\hat{\mathfrak{g}})\)
• Crystalizing the q-analogue of universal enveloping algebras
• Imaginary Verma modules and Kashiwara algebras for $U_q(\widehat{\mathfrak{sl}(2)})$
• Canonical Bases Arising from Quantized Enveloping Algebras
• Imaginary Verma Modules for Affine Lie Algebras
• Quantum Deformations of Imaginary Verma Modules
• Imaginary crystal bases for 𝑈_{𝑞}(̂𝔰𝔩(2))-modules in category 𝒪^{𝓆}_{𝓇ℯ𝒹,𝒾𝓂}
• Introduction to quantum groups

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