A quantized Tits-Kantor-Koecher algebra

DOI10.1007/s10468-009-9205-yzbMath1278.17014arXiv0808.3056OpenAlexW4240636575WikidataQ57435929 ScholiaQ57435929MaRDI QIDQ5891498

Yun Gao, Naihuan Jing

Publication date: 12 April 2012

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.3056

zbMATH Keywords

quantum groupvertex operatorsJordan torusTKK algebra

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Vertex operators; vertex operator algebras and related structures (17B69) Jordan structures associated with other structures (17C50)

Related Items (1)

Vertex algebras and TKK algebras

Cites Work

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• Schur duality in the toroidal setting
• Toroidal Lie algebras and vertex representations
• TKK algebras and vertex operator representations
• Toroidal actions on level 1 modules of \(U_q(\widehat{sl}_n)\)
• Quantum Kac-Moody algebras and vertex representations
• \(U_q(\widehat{\mathfrak{gl}}_N)\) action on \(\widehat{\mathfrak{gl}}_N\)-modules and quantum toroidal algebras.
• Quantum vertex representations via finite groups and the McKay correspondence
• Coordinate algebras of extended affine Lie algebras of type \(A_1\)
• Langlands reciprocity for algebraic surfaces
• Representations of the quantum toroidal algebra on highest weight modules of the quantum affine algebra of type \({\mathfrak {gl}}_N\)
• Extended affine Lie algebras and their root systems
• Quantum toroidal algebras and their vertex representations

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