I'm a beginner on sympletic geometry, studiyng by the Meinrenken notes, need a help in a question.
Let $(E,\omega)$ sympletic space and $L_1, L_2\in Lag(E,\omega)$ lagrangians such that $dim(L_1\cap L_2)=k$. Show that exists a symplectic basis in which $L_1=\langle e_1,..,e_n\rangle$ and $L_2 =\langle e_1,...,e_k,f_{k+1},..,f_n\rangle$.
Need some hint to start the exercises.