English

A new invariant of quadratic Lie algebras

Representation Theory 2010-05-31 v2

Abstract

We define a new invariant of quadratic Lie algebras and give a complete study and classification of singular quadratic Lie algebras, i.e. those for which the invariant does not vanish. The classification is related to O(n)\mathrm{O}(n)-adjoint orbits in o(n)\mathfrak{o}(n).

Keywords

Cite

@article{arxiv.1005.3970,
  title  = {A new invariant of quadratic Lie algebras},
  author = {Duong Minh Thanh and Georges Pinczon and Rosane Ushirobira},
  journal= {arXiv preprint arXiv:1005.3970},
  year   = {2010}
}