论文标题
在复数上，非凡的简单谎言代数数字化成矩阵
Digitalization of exceptional simple Lie algebras into matrices over complex numbers
论文作者
论文摘要
我们通过矩阵在复数上给出了特殊简单的谎言代数的伴随表示图像。接下来，我们通过使用Maxima（即计算机代数系统）将这些矩阵数字化。这些数字化矩阵是通过使用Maxima的功能提供的。我们证明，这些数字化矩阵是通过Lie -bracket Operations关闭的，并组成了简单的Lie代数。此外，为了证明异常简单的Lie代数的类型，我们使用Maxima来计算lie括号操作作为矩阵计算的根系。我们展示了这些数字矩阵的经典谎言亚代词的一些例子。
We give the images of the adjoint representations of exceptional simple Lie algebras by matrices over complex numbers. Next, we digitalize these matrices by the use of Maxima, which is a computer algebra system. These digitalized matrices are provided by using Maxima's function. We prove that these digitalized matrices are closed by Lie bracket operations and make up simple Lie algebras. Moreover, to prove the type of the exceptional simple Lie algebra, we calculate the root system using Maxima for Lie bracket operations as matrix calculations. We show some examples of classical Lie subalgebras of these digitalized matrices.
