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

DOI10.1016/J.JALGEBRA.2004.02.009zbMath1106.17031OpenAlexW1993933054WikidataQ115351752 ScholiaQ115351752MaRDI QIDQ1879659

Tadayoshi Takebayashi

Publication date: 23 September 2004

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2004.02.009

zbMATH Keywords

relationsgeneratorstoroidal Lie algebraelliptic Lie algebra

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• On the defining relations of the simply-laced elliptic Lie algebras
• Toroidal Lie algebras and vertex representations
• Extended affine root systems. I: Coxeter transformations
• Lie algebras graded by finite root systems and the intersection matrix algebras of Slodowy
• Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
• Extended affine root system. IV: Simply-laced elliptic Lie algebras
• Vertex algebras, Kac-Moody algebras, and the Monster

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