A quantized Tits-Kantor-Koecher algebra
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Publication:5891498
DOI10.1007/s10468-009-9205-yzbMath1278.17014arXiv0808.3056OpenAlexW4240636575WikidataQ57435929 ScholiaQ57435929MaRDI QIDQ5891498
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
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)
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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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