Classification of Simple Lie Algebras on a Lattice

Details Classification of Simple Lie Algebras on a Lattice Classification of Simple Lie Algebras on a Lattice

2011-07-11

arxiv.org/abs/1107.2082v2

Mathematics

Representation Theory

Scientific paper

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.

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