Abstract definition of a root system in the symmetrisable case.

DOI10.1016/S0021-8693(03)00387-9zbMath1066.17002MaRDI QIDQ1421800

Nicole Bardy

Publication date: 3 February 2004

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

zbMATH Keywords

root systemKac-Moody algebraimaginary rootsTits cone

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Simple, semisimple, reductive (super)algebras (17B20)

Cites Work

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• Generalized Kac-Moody algebras
• Almost split forms of Kac-Moody algebras: classification and relative roots
• A characterization of generalized Kac-Moody algebras
• Root strings with two consecutive real roots
• On Infinite Root Systems
• Systèmes de racines infinis
• Axioms for infinite root systems

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