The Ubiquity of ADE Classifications in Nature
نویسنده
چکیده
It is well known that these diagrams play a key role in the classification of Lie groups and Lie algebras, along with the other Dynkin diagrams {Bl}, {Cl}, F4 and G2. However, the ADE diagrams also classify many other diverse collections of objects in mathematics and physics, many of which have seemingly nothing to do with Lie groups and Lie algebras. The diagrams arise naturally (and often very mysteriously) when studying things like quiver representations, singularity theory, linear algebra, hyper-Kahler geometry, finite subgroups
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