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The Weyl group of a root system is a subgroup generated by reflections through the hyperplanes orthogonal to the roots.
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Do Weyl groups generate the exceptional Lie groups as sequences of reflexions in the Weyl ch...
Platonic groups of symmetry are Weyl groups for the exceptional Lie algebra E6->E8, as root systems. These can be viewed as mirrors in a kaleidoscope (Goodman).
I would like to know if one can generat …