## Classification of Simple Lie Algebras on a Lattice    [PDF]

Kenji Iohara, Olivier Mathieu
Let $\Lambda$ be a lattice of rank $n$. A Lie algebra on the lattice $\Lambda$ is a Lie algebra ${\cal L}=\oplus_{\lambda\in\Lambda}\,{\cal L}_{\lambda}$ such that $\dim\,{\cal L}_\lambda=1$ for all $\lambda$. In this article, we classify all simple graded Lie algebras on a lattice.
View original: http://arxiv.org/abs/1107.2082