English

Orbits in real $\Z_m$-graded semisimple Lie algebras

Representation Theory 2014-09-02 v5 Differential Geometry

Abstract

In this note we propose a method to classify homogeneous nilpotent elements in a real ZmZ_m-graded semisimple Lie algebra gg. Using this we describe the set of orbits of homogeneous elements in a real Z2Z_2-graded semisimple Lie algebra. A classification of 4-vectors (resp. 4-forms) on R8R^8 can be given using this method.

Keywords

Cite

@article{arxiv.0905.2939,
  title  = {Orbits in real $\Z_m$-graded semisimple Lie algebras},
  author = {Hong Van Le},
  journal= {arXiv preprint arXiv:0905.2939},
  year   = {2014}
}

Comments

19 pages, misprints are corrected, final version