Orbits in real Z(m)-graded semisimple Lie algebras

0359321 - MÚ 2012 RIV DE eng J - Journal Article
Le, Hong-Van
Orbits in real Z(m)-graded semisimple Lie algebras.
Journal of Lie Theory. Roč. 21, č. 2 (2011), s. 285-305. ISSN 0949-5932. E-ISSN 0949-5932
R&D Projects: GA AV ČR IAA100190701
Institutional research plan: CEZ:AV0Z10190503
Keywords : Real Z-sub-m-graded Lie algebra * nilpotent elements * homogeneous elements
Subject RIV: BA - General Mathematics
Impact factor: 0.296, year: 2011
http://www.heldermann.de/JLT/JLT21/JLT212/jlt21013.htm

We propose a method to classify homogeneous nilpotent elements in a real Zm-graded semisimple Lie algebra g. Using this we describe the set of orbits of homogeneous elements in a real Z2-graded semisimple Lie algebra. A classification of 4-vectors (resp. 4-forms) on R8 can be given using this method.
Permanent Link: http://hdl.handle.net/11104/0197123