2-transitive and 3-transitive Lie groups - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-20T06:18:26Z http://mathoverflow.net/feeds/question/91257 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/91257/2-transitive-and-3-transitive-lie-groups 2-transitive and 3-transitive Lie groups Nina 2012-03-15T07:27:22Z 2012-03-15T11:12:04Z <p>Where I can find the classification of 2-transitive and 3-transitive Lie groups?</p> http://mathoverflow.net/questions/91257/2-transitive-and-3-transitive-lie-groups/91269#91269 Answer by BS for 2-transitive and 3-transitive Lie groups BS 2012-03-15T11:12:04Z 2012-03-15T11:12:04Z <p>I found the following by googling :</p> <p>Kramer, Linus. Two-transitive Lie groups. J. Reine Angew. Math. 563 (2003), 83-113.</p> <p>also available as arxiv:math/0106108</p> <p>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 <em>connected</em> manifold, and the examples are listed sperately, according to wether \$X\$ is compact or not. </p> <p>It remains to extract the 3-transitive cases, which should not be too hard.</p>