# Maximal subgroups of $\mathrm{SL}(n,\mathbb{R})$

I would like to find a list (or at least a description) of the maximal closed connected subgroups of $\mathrm{SL}(n, \mathbb{R})$ , and also of $\mathrm{SU}(p,q)$.

In the following MO discussion is indicated a link to a nice paper of Dynkin where he classifies the closed Lie subgroups of $\mathrm{SL}(n, \mathbb{C})$, but I'm not sure if one can deduce the answer to my question from this classification.

Thanks

For $su(p,q)$, I found

Selim, Taufik Mohamed On maximal subalgebras in classical real Lie algebras. Selected translations. Selecta Math. Soviet. 6 (1987), no. 2, 163–176.

• I can't find the paper anywhere, any clue? – Selim G May 24 '16 at 7:12
• Are you still in Paris? There, three libraries are carrying the journal (ENS, Jussieu, Orsay). See cfp.mathdoc.fr/periodique.php?id=4604. – Friedrich Knop May 24 '16 at 10:09
• Thank you very much! I didn't know about this catalogue, very useful indeed! – Selim G May 24 '16 at 12:56

Maximal closed connected subgroups of positive dimension in $\mathrm{SL}(n,\mathbb{R})$ are parabolic, the normalizer of a connected semisimple subgroup, or the normalizer of a maximal torus. There are finitely many conjugation classes of each type, and so you could try to work out the maximal ones.

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