A general formula for the Magnus expansion in terms of iterated integrals of right-nested commutators
arXiv:1710.10851
Abstract
We present a general expression for any term of the Magnus series as an iterated integral of a linear combination of independent right-nested commutators with given coefficients. The relation with the Malvenuto--Reutenauer Hopf algebra of permutations is also discussed.
16 pages