On multivariable Zassenhaus formula

doi:10.1007/s11464-019-0760-1

Front. Math. China

2019, Vol. 14

Issue (2) : 421-433 https://doi.org/10.1007/s11464-019-0760-1

RESEARCH ARTICLE

On multivariable Zassenhaus formula

Linsong WANG¹, Yun GAO², Naihuan JING^1,³(

)

¹. School of Mathematics, South China University of Technology, Guangzhou 510640, China
². Department of Mathematics and Statistics, York University, Toronto, ON M3J 1P3, Canada
³. Department of Mathematics, North Carolina State University, Raleigh, NC 27695, USA

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Abstract

We give a recursive algorithm to compute the multivariable Zassenhaus formula $e X 1 + X 2 + ... + X n = e X 1 e X 2 ... e X n$ $Π k = 2 ∞ e W k$ and derive ane effective recursion formula of $W k$ .

Keywords Baker-Campbell-Hausdor_ formula Zassenhaus formula

Corresponding Author(s): Naihuan JING

Issue Date: 14 May 2019

Cite this article:

Linsong WANG,Yun GAO,Naihuan JING. On multivariable Zassenhaus formula[J]. Front. Math. China, 2019, 14(2): 421-433.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-019-0760-1
https://academic.hep.com.cn/fmc/EN/Y2019/V14/I2/421

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