Involutive Lie algebras graded by finite root systems and compact forms of IM algebras

DOI10.1007/PL00004280zbMath0884.17012OpenAlexW1981755868MaRDI QIDQ1358310

Yun Gao

Publication date: 3 July 1997

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174944

zbMATH Keywords

involutive Lie algebrasSteinberg unitary Lie algebraChevalley involutionIM algebraintersection-matrix

Mathematics Subject Classification ID

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

Related Items (7)

Central extensions of generalized orthosymplectic Lie superalgebras ⋮ Chevalley involutions for Lie tori and extended affine Lie algebras ⋮ Ideals and simplicity of unitary Lie algebras ⋮ A class of Lie algebras arising from intersection matrices ⋮ Quantized GIM algebras and their images in quantized Kac-Moody algebras ⋮ Invariant Symmetric Bilinear Forms and Derivation Algebras of Unitary Lie Algebras ⋮ Finite-dimensional Representations for a Class of Generalized Intersection Matrix Lie Algebras

Cites Work

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• Generalized Kac-Moody algebras
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• Nonassociative coefficient algebras for Steinberg unitary Lie algebras
• Steinberg unitary Lie algebras and skew-dihedral homology
• Lie algebras graded by finite root systems and intersection matrix algebras
• On generators and relations for certain involutory subalgebras of kac-moody lie algebras^∗
• Lie Algebras Graded by 3-Graded Root Systems and Jordan Pairs Covered by Grids
• Introduction to Lie Algebras and Representation Theory

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