Let $(V,\omega)$ be a finite-dimensional ($\dim(V)=2n)$ symplectic vector space over $\mathbb{F}_q$. How many Lagrangian subspaces of $V$ are there? I am particularly interested in the case $q=2$.
2026-02-23 21:13:46.1771881226
How many Lagrangian subspaces are there over $\mathbb{F}_2$?
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