grandes-ecoles 2010 QIB

grandes-ecoles · France · centrale-maths2__pc Groups Subgroup and Normal Subgroup Properties
We assume in this question that the space $E$ has dimension 1. Show that the root systems of $E$ are the sets $\{ \alpha , - \alpha \}$, with $\alpha \in E \backslash \{ 0 \}$. 
We assume in this question that the space $E$ has dimension 1. Show that the root systems of $E$ are the sets $\{ \alpha , - \alpha \}$, with $\alpha \in E \backslash \{ 0 \}$.
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