A Non-associative Baker-Campbell-Hausdorff formula

J. Mostovoy, J. M. Perez-Izquierdo, I. P. Shestakov

We address the problem of constructing the non-associative version of the Dynkin form of the Baker-Campbell-Hausdorff formula; that is, expressing $\log (\exp (x)\exp (y))$, where $…