English

Locally finite admissible simple Lie algebras

Quantum Algebra 2010-06-08 v4

Abstract

We introduce a class of Lie algebras called admissible Lie algebras. We show that a locally finite admissible simple Lie algebra contains a nonzero maximal toral subalgebra and the corresponding root system is an irreducible locally finite root system.

Keywords

Cite

@article{arxiv.0911.5064,
  title  = {Locally finite admissible simple Lie algebras},
  author = {Malihe Yousofzadeh},
  journal= {arXiv preprint arXiv:0911.5064},
  year   = {2010}
}