Zassenhaus formula:

e^{t (X + Y)} = e^{t X} e^{t Y} e^{- \frac{t^{2}}{2} [X, Y]} e^{\frac{t^{3}}{6} (2 [Y, [X, Y]] + [X, [X, Y]])} e^{\frac{- t^{4}}{24} ([[[X, Y], X], X] + 3 [[X, Y], X], Y] + 3 [[[X, Y], Y], Y])} \dots

Related: Baker-Campbell-Hausdorff formula and flow of the sum of two vector fields.

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Author of the notes: Antonio J. Pan-Collantes

antonio.pan@uca.es

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