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An upper bound on the dimension of a subalgebra of $\mathfrak{so}(p,q)$ with non-trivial centre
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An upper bound on the dimension of a subalgebra of $\mathfrak{so}(p,q)$ with non-trivial centre
Thanks for the comment. Indeed, that is where I am coming from. I am looking for the maximal dimension of centralizers of non-trivial elements. Maximal subgroups are only a crude upper bound, not structurally related to the question at hand.
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An upper bound on the dimension of a subalgebra of $\mathfrak{so}(p,q)$ with non-trivial centre