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| View Original: | Integrality of root systems.svg (750x400) | |||
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| Keywords: Integrality of root systems.svg en Conditions on the placement of roots in a root system Given a root <math>\alpha</math> in a root system this image shows the possible positions for another root <math>\beta \neq \pm \alpha</math> within the 2-dimensional subspace that they span The blue lines show the possible half-integer values of <math>\frac \alpha \beta \alpha \alpha </math> and the red circles show the possible half-integer values of <math>\frac \alpha \beta \beta \beta </math> The black line shows <math> \alpha \beta 0</math> which are all except 0 possible values for <math>\beta</math> The black points show possible values for <math>\beta</math> and are labeled with the angle <math>\widehat \alpha \beta </math> own Smithers888 Root systems | ||||
