A general formula for the Magnus expansion in terms of iterated integrals of right-nested commutators
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🧮 math-ph
math.MP
keywords
commutatorsgeneraliteratedmagnusright-nestedalgebracoefficientscombination
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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.
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