Classification of minimal locally affine Lie algebras

DOI10.1016/j.jalgebra.2022.11.004zbMath1506.17020OpenAlexW4309684069MaRDI QIDQ2099283

Jun Morita, Yoji Yoshii

Publication date: 23 November 2022

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.11.004

zbMATH Keywords

loop algebratwisted loop algebralocally affine Lie algebralocally extended affine Lie algebra

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65) Graded Lie (super)algebras (17B70)

Cites Work

• Lie tori -- a simple characterization of extended affine Lie algebras
• Extended affine root systems. I: Coxeter transformations
• The arithmetic theory of loop groups
• Universal central extensions of direct limits of Lie superalgebras
• A graph-theoretical classification for reflectable bases
• Locally extended affine Lie algebras
• Locally loop algebras and locally affine Lie algebras
• The classification of locally finite split simple Lie algebras
• New Lie tori from Naoi tori
• Isotopy for Extended Affine Lie Algebras and Lie Tori
• Unitary highest weight modules of locally affine Lie algebras
• Locally extended affine root systems
• Reflection systems and partial root systems
• Extended affine Lie algebras and their root systems
• Locally finite root systems
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