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Where I can find the classification of 2-transitive and 3-transitive Lie groups?

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    $\begingroup$ Transitive on what? $\endgroup$
    – Max Horn
    Commented Mar 15, 2012 at 10:34

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I found the following by googling :

Kramer, Linus. Two-transitive Lie groups. J. Reine Angew. Math. 563 (2003), 83-113.

also available as arxiv:math/0106108

It completely classifies locally compact sigma-compact groups $G$ acting effectively and 2-transitively on a non totally disconnected space $X$ (hausdorff I presume) : then $G$ is a Lie group, $X$ is a connected manifold, and the examples are listed sperately, according to wether $X$ is compact or not.

It remains to extract the 3-transitive cases, which should not be too hard.

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    $\begingroup$ In fact, Corollary 3.4 and Theorem 5.14 (arxiv version) explicitly lists which of these are 3-transitive. $\endgroup$
    – Gabriel C. Drummond-Cole
    Commented Dec 22, 2016 at 21:04

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