Orthogonal roots and orbits of graded semisimple Lie algebras

DOI10.1006/jabr.1996.6998zbMath0911.17003OpenAlexW2082823743WikidataQ115396026 ScholiaQ115396026MaRDI QIDQ1364260

Iris Muller

Publication date: 4 May 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1996.6998

zbMATH Keywords

regular prehomogeneous vector spacesgradation of semisimple Lie algebras

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Special prehomogeneous vector spaces associated to \(F_{4}\), \(E_{6}\), \(E_{7}\), \(E_{8}\) and simple Jordan algebras of rank 3., Classification d’orbites pour une classe d’espaces préhomogènes, Orthogonal roots, quadratic forms and orbits of simple graded Lie algebras

Cites Work

• Involutive automorphisms of root systems
• Structure of prehomogeneous spaces associated with certain graded Lie algebras
• On the structure of parabolic subgroups in algebraic groups
• Parabolic subgroups with Abelian unipotent radical
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