TITLE: Explicit convergence of Baker-Campbell-Hausdorff
QUESTION [6 upvotes]: 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?

REPLY [5 votes]: You might try On the convergence and optimization of the Baker–Campbell–Hausdorff formula, via google.