A fundamental representation of quantum generalized Kac-Moody algebras with one imaginary simple root

DOI10.1007/s11464-015-0471-1zbMath1392.17021OpenAlexW2116651263MaRDI QIDQ493360

Jiangrong Chen, Zhonghua Zhao

Publication date: 3 September 2015

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-015-0471-1

zbMATH Keywords

fundamental representationtensor algebraquantum generalized Kac-Moody algebra

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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• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Generalized Kac-Moody algebras
• Quantum deformations of certain simple modules over enveloping algebras
• On the fundamental representation of Borcherds algebras with one imaginary simple root
• Generalized Kac-Moody Lie algebras, free Lie algebras and the structure of the Monster Lie algebra
• Monstrous moonshine and monstrous Lie superalgebras
• Quantum deformations of generalized Kac-Moody algebras and their modules
• Quantized enveloping algebras for Borcherds superalgebras
• Crystal bases for quantum generalized kac–moody algebras
• Introduction to quantum groups

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