On multi-variable Zassenhaus formula

Published 7 Mar 2019 in math.QA, math-ph, math.CO, and math.MP | (1903.03140v1)

Abstract: In this paper, we give a recursive algorithm to compute the multivariable Zassenhaus formula $$e^{{X_1+X_2+\cdots} +X_n}=e^{{X_1}e^{X_2}\cdots} e^{{X_n}\prod_{k=2}^{{\infty}e^{W_k}$$}} and derive an effective recursion formula of $W_k$.

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