Quantizations of the Extended Affine Lie Algebra $\widetilde{\frak{sl}_2(\mathbb{C}_q)}$

DOI10.1142/S1005386715000504zbMath1371.17015arXiv1111.4791OpenAlexW1765798279WikidataQ115244725 ScholiaQ115244725MaRDI QIDQ3459173

Ying Xu, Junbo Li

Publication date: 21 December 2015

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

Full work available at URL: https://arxiv.org/abs/1111.4791

zbMATH Keywords

Lie bialgebrasextended affine Lie algebraquantizationsDrinfel'd twists

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Lie bialgebras; Lie coalgebras (17B62)

Cites Work

• Irreducible modules for extended affine Lie algebras
• Quantizations of the \(W\)-algebra \(W(2,2)\)
• Quantization of Lie algebras of Block type
• Representations of toroidal extended affine Lie algebras
• Quantization of generalized Virasoro-like algebras
• Bialgebra actions, twists, and universal deformation formulas
• Classification and construction of quasisimple Lie algebras
• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• Lie bialgebra structures on the extended affine Lie algebra \(\widetilde {\mathfrak {sl}_2(\mathbb C_q)}\)
• Modules for the core of extended affine Lie algebras of type \(A_1\) with coordinates in rank 2 quantum tori
• Quantizations of the Witt algebra and of simple Lie algebras in characteristic \(p\)
• Fermionic and Bosonic Representations of the Extended Affine Lie Algebra
• Unnamed Item

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