Prove that, in a planar root system CR2, all positive (correspondingly, simple) systems are conjugate under...

 

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Prove that, in a planar root system CR2, all positive (correspondingly, simple) systems are conjugate under the action of the reflection group W = W($). Prove that, in a planar root system CR2, all positive (correspondingly, simple) systems are conjugate under the action of the reflection group W = W($).

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In a planar root system in R a positive system is a set of positive roots that generate the entire r... View the full answer