Quantization of the derivation Lie algebra over quantum torus

DOI10.1080/00927872.2023.2179632OpenAlexW4321612719MaRDI QIDQ6039095

Xiao Qing Yue, Unnamed Author

Publication date: 3 May 2023

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

Full work available at URL: https://doi.org/10.1080/00927872.2023.2179632

zbMATH Keywords

quantizationquantum torusLie bialgebrasDrinfel'd twist

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Lie algebras of vector fields and related (super) algebras (17B66) Structure theory for Lie algebras and superalgebras (17B05) Lie bialgebras; Lie coalgebras (17B62)

Cites Work

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• Quantization of generalized Virasoro-like algebras
• Bialgebra actions, twists, and universal deformation formulas
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• Quantizations of generalized-Witt algebra and of Jacobson-Witt algebra in the modular case
• Quantizations of the Witt algebra and of simple Lie algebras in characteristic \(p\)
• Lie bialgebra structures on derivation Lie algebra over quantum tori
• Lie Bialgebra Structures on Lie Algebras of Generalized Weyl Type
• On some unsolved problems in quantum group theory
• Quantization of Lie Algebras of Generalized Weyl Type

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