Minimal graded Lie algebras and representations of quadratic algebras

DOI10.1016/j.jalgebra.2016.10.011zbMath1415.17028arXiv1410.0031OpenAlexW2538750265WikidataQ115350736 ScholiaQ115350736MaRDI QIDQ502705

Hubert Rubenthaler

Publication date: 6 January 2017

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

Full work available at URL: https://arxiv.org/abs/1410.0031

zbMATH Keywords

representationsgraded Lie algebrasreductive Lie algebrasquadratic Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Graded Lie (super)algebras (17B70) Simple, semisimple, reductive (super)algebras (17B20)

Related Items

Graded Lie algebras and regular prehomogeneous vector spaces with one-dimensional scalar multiplication

Cites Work

• A new invariant of quadratic Lie algebras
• Structure of prehomogeneous spaces associated with certain graded Lie algebras
• Some remarks on nilpotent orbits
• The geometry of special symplectic representations
• Algèbres de Lie et produit scalaire invariant
• Remarks on Classical Invariant Theory
• A classification of irreducible prehomogeneous vector spaces and their relative invariants
• SIMPLE IRREDUCIBLE GRADED LIE ALGEBRAS OF FINITE GROWTH
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item