论文标题
$ e_8 $和谎言代数魔术广场的八元离子构建
An octonionic construction of $E_8$ and the Lie algebra magic square
论文作者
论文摘要
根据$ 3 \ times3 $矩阵，我们给出了$ e_8 $ type $ e_8 $的Lie代数的新结构，以使Lie Bracket具有自然描述为矩阵换向器。这导致了对弗洛伊达塔尔的魔术代数的新解释，该广场是通过换倒来行动的。
We give a new construction of the Lie algebra of type $E_8$, in terms of $3\times3$ matrices, such that the Lie bracket has a natural description as the matrix commutator. This leads to a new interpretation of the Freudenthal-Tits magic square of Lie algebras, acting on themselves by commutation.
