Homogeneous Construction of the Toroidal Lie Algebra of Type A1

DOI10.1142/S1005386707000399zbMath1148.17014WikidataQ115245098 ScholiaQ115245098MaRDI QIDQ5297245

Hai Feng Lian, Cui Chen, Qinzhu Wen

Publication date: 18 July 2007

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

Full work available at URL: http://www.worldscinet.com/ac/14/1403/S1005386707000399.html

zbMATH Keywords

Kac-Moody algebratoroidal Lie algebravertex representation

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Vertex operators; vertex operator algebras and related structures (17B69)

Cites Work

• Realization of the basic representations of the Euclidean Lie algebras
• Basic representations of affine Lie algebras and dual resonance models
• Unitary representations of some infinite dimensional groups
• Construction of the affine Lie algebra \(A^{(1)}_1\)
• Principal construction of the toroidal Lie algebra of type \(A_1\)
• Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
• A new family of algebras underlying the Rogers-Ramanujan identities and generalizations
• Principal vertex operator representations for toroidal Lie algebras

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