On the defining relations of the simply-laced elliptic Lie algebras

DOI10.3792/PJAA.77.119zbMath1013.17019OpenAlexW2039205698MaRDI QIDQ696368

Tadayoshi Takebayashi

Publication date: 12 September 2002

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.77.119

zbMATH Keywords

generatorsdefining relationselliptic root systemelliptic Cartan matrixsimply-laced elliptic Lie algebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65)

Related Items (1)

Defining relations of the elliptic Lie algebra of type \(A_{1}^{(1,1)}\)

Cites Work

• Toroidal Lie algebras and vertex representations
• Extended affine root systems. I: Coxeter transformations
• Extended affine root system. IV: Simply-laced elliptic Lie algebras
• Vertex algebras, Kac-Moody algebras, and the Monster
• Unnamed Item

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