grandes-ecoles 2010 QIE2

grandes-ecoles · France · centrale-maths2__pc Groups Group Homomorphisms and Isomorphisms

In this question, the space $E$ has dimension $n = 3$. Let $(e _ { 1 } , e _ { 2 } , e _ { 3 })$ be an orthonormal basis of $E$ and $\mathcal { R } _ { 0 } = \left\{ e _ { i } - e _ { j } \mid 1 \leq i , j \leq 3 , i \neq j \right\}$.
Draw graphically $\mathcal { R } _ { 0 }$ in the plane $\operatorname { Vect } \left( \mathcal { R } _ { 0 } \right)$. Recognize one of the root systems represented in question I.D.2.

In this question, the space $E$ has dimension $n = 3$. Let $(e _ { 1 } , e _ { 2 } , e _ { 3 })$ be an orthonormal basis of $E$ and $\mathcal { R } _ { 0 } = \left\{ e _ { i } - e _ { j } \mid 1 \leq i , j \leq 3 , i \neq j \right\}$.

Draw graphically $\mathcal { R } _ { 0 }$ in the plane $\operatorname { Vect } \left( \mathcal { R } _ { 0 } \right)$. Recognize one of the root systems represented in question I.D.2.

Paper Questions

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