Quadrangular algebras , by Richard
نویسنده
چکیده
One of the best-known and most beautiful parts of mathematics is the classification of the simple Lie groups over the complex numbers. This was achieved in the late 1880s by Wilhelm Killing, whose work was remodelled by Élie Cartan in 1894, and it is now referred to as the Killing-Cartan classification. A Lie group is called simple if it has no non-trivial, connected, normal subgroups, and the simple Lie groups over the complex numbers C are in bijective correspondence with the Dynkin diagrams in families A through G. Here are these well-known diagrams:
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