On the structure of split Lie color algebras

DOI10.1016/j.laa.2011.02.003zbMath1241.17031OpenAlexW1981311067WikidataQ115344788 ScholiaQ115344788MaRDI QIDQ651203

José M. Sánchez Delgado, Antonio Jesús Calderón Martín

Publication date: 8 December 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.02.003

zbMATH Keywords

root spaceLie color algebrainfinite dimensional Lie algebrarootstructure theory

Mathematics Subject Classification ID

Color Lie (super)algebras (17B75) Structure theory for Lie algebras and superalgebras (17B05) Infinite-dimensional Lie (super)algebras (17B65) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (32)

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Cites Work

• On simple split Lie triple systems
• On split Lie algebras with symmetric root systems
• Derivations and extensions of Lie color algebra
• Gradings on finite-dimensional simple Lie algebras
• Infinite dimensional Lie superalgebras
• Simple Lie color algebras from graded associative algebras
• The structure of locally finite split Lie algebras
• Cohomology of 3-dimensional color Lie algebras
• Generalized Lie Elements
• Bosonic color-flavor transformation for the special unitary group
• A DOMAIN TEST FOR LIE COLOR ALGEBRAS
• Derivation Simple Color Algebras and Semisimple Lie Color Algebras
• Generalized Lie algebras
• Sequences of Z2⊗Z2 graded Lie algebras and superalgebras
• Classification of derivation-simple color algebras related to locally finite derivations
• On split Lie superalgebras

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