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arXiv · 1107.2082

Classification of Simple Lie Algebras on a Lattice

Kenji Iohara·Olivier Mathieu
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Abstract

Let $Λ$ be a lattice of rank $n$. A Lie algebra on the lattice $Λ$ is a Lie algebra ${\cal L}=\oplus_{λ\inΛ}\,{\cal L}_λ$ such that $\dim\,{\cal L}_λ=1$ for all $λ$. In this article, we classify all simple graded Lie algebras on a lattice.

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BibTeXRIS

Kenji Iohara, Olivier Mathieu. 2012-04-03. Classification of Simple Lie Algebras on a Lattice. https://doi.org/10.1112/plms%2Fpds042

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