grandes-ecoles 2022 Q30

grandes-ecoles · France · centrale-maths1__official Groups Symplectic and Orthogonal Group Properties
Let $a \in E$ be a non-zero vector and $\lambda$ be a real number. Is the inverse $\left( \tau _ { a } ^ { \lambda } \right) ^ { - 1 }$ still a symplectic transvection?
Let $a \in E$ be a non-zero vector and $\lambda$ be a real number. Is the inverse $\left( \tau _ { a } ^ { \lambda } \right) ^ { - 1 }$ still a symplectic transvection?