The Baker-Campbell-Hausdorff formula via mould calculus (Q1737042)
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| Language | Label | Description | Also known as |
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| English | The Baker-Campbell-Hausdorff formula via mould calculus |
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The Baker-Campbell-Hausdorff formula via mould calculus (English)
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26 March 2019
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\textit{J. Ecalle} introduced [Publ. Math. Orsay 81--06, 248--531 (1981; Zbl 0499.30035); ibid. 81--05, 247 p. (1981; Zbl 0499.30034)] mould calculus and it has influenced research in both mathematics and physics. The authors use this calculus to give new approaches to several results in Lie theory. They give a proof of the Baker-Campbell-Hausdorff formula as well as a result due to Dynkin in this direction. Also shown is a result due to Kimura on the Baker-Campbell-Hausdorff formula and a related result due to Zassenhaus.
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mould calculus
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Baker-Campbell-Hausdorff formula
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Dynkin's formula
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