grandes-ecoles 2022 Q38

grandes-ecoles · France · centrale-maths1__official Groups Symplectic and Orthogonal Group Properties
With the same setup as Q37 ($v = \delta \circ u$, $P = \operatorname{Vect}(e_1, f_1)$, $P^\omega$ the $\omega$-orthogonal of $P$), show that $P ^ { \omega }$ is stable under $v$. 
With the same setup as Q37 ($v = \delta \circ u$, $P = \operatorname{Vect}(e_1, f_1)$, $P^\omega$ the $\omega$-orthogonal of $P$), show that $P ^ { \omega }$ is stable under $v$.
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