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One classifies such Lie algebras via their root system, which can be represented by a Dynkin diagram. One then classifies Dynkin diagrams according to the constraints they must satisfy, as described below. Dropping the direction on the graph edges corresponds to replacing a root system by the finite reflection group it generates, the so-called Weyl group, and thus undirected Dynkin diagrams.

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Title: Dynkin system: Canonical name: DynkinSystem: Date of creation: 2013-03-22 12:21:19: Last modified on: 2013-03-22 12:21:19: Owner: mathwizard (128) Last modified by.

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A certain graph that can be associated to simple Lie algebras (and a number of other objects) and which serves to classify these. See also Root system.

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