Explicit convergence of Baker-Campbell-Hausdorff - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-26T03:59:00Z http://mathoverflow.net/feeds/question/1297 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/1297/explicit-convergence-of-baker-campbell-hausdorff Explicit convergence of Baker-Campbell-Hausdorff anon 2009-10-19T22:08:56Z 2009-10-19T22:20:46Z <p>Let g be a finite dimensional simple Lie algebra over C. The Baker-Campbell-Hausdorff series defines a (multivariable) analytic function from a neighborhood of 0 in g \times g \to g. What is the domain of (absolute) convergence of this function?</p> http://mathoverflow.net/questions/1297/explicit-convergence-of-baker-campbell-hausdorff/1302#1302 Answer by Scott Morrison for Explicit convergence of Baker-Campbell-Hausdorff Scott Morrison 2009-10-19T22:20:46Z 2009-10-19T22:20:46Z <p>You might try <a href="http://dx.doi.org/10.1016/j.laa.2003.09.010" rel="nofollow">On the convergence and optimization of the Baker–Campbell–Hausdorff formula</a>, via google.</p>