Reference request: structure of stabilisers of totally isotropic subspaces in orthogonal (and unitary) groups

Question

I am looking for a book or paper which covers the structure of stabilisers in $GO(n,F)$, $SO(n,F)$ (or maybe in $\Omega(n,F)$) of totally isotropic subspaces of dimension $k$. Can you please suggest any references? I am also interested in the same questions for unitary groups, but orthogonal groups are my priority at the moment.

Thank you!

Answer 1

For finite fields $F$, you will find a very detailed and comprehensive treatment in the book by Kleidman and Liebeck on the maximal subgroups of the finite classical groups.