CLASSIFICATION OF SIMPLE LIE ALGEBRAS ON A LATTICE
Résumé
Let $\Lambda$ be a lattice of rank $n$. In this article, we classify all $\Lambda$-graded Lie algebras ${\cal L}=\bigoplus_{\lambda \in \Lambda}{\cal L}_\lambda$ such that ${\cal L}$ is simple-graded and that $\dim {\cal L}_\lambda=1$ for all $\lambda \in \Lambda$.
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