Kurlin, Vitaliy ORCID: 0000-0001-5328-5351
(2007)
The Baker-Campbell-Hausdorff formula in the free metabelian Lie algebra.
JOURNAL OF LIE THEORY, 17 (3).
pp. 525-538.
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metabelian-BCH-formula.pdf - Author Accepted Manuscript Download (7MB) |
Abstract
The classical Baker-Campbell-Hausdorff formula gives a recursive way to compute the Hausdorff series H=ln(e^X e^Y) for non-commuting X,Y. Formally H lives in the graded completion of the free Lie algebra L generated by X,Y. We present a closed explicit formula for H=ln(e^X e^Y) in a linear basis of the graded completion of the free metabelian Lie algebra L/[[L,L],[L,L]].
Item Type: | Article |
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Additional Information: | 10 pages, the paper was completely reworked. The metabelian BCH formula is interpreted as a linear part of a deeper formula for ln(e^X e^Y) |
Uncontrolled Keywords: | Lie algebra, metabelian Lie algebra, Hausdorff series, Baker-Campbell-Hausdorff formula, metabelian BCH formula, Zassenhaus formula, Kashiwara-Vergne conjecture. |
Depositing User: | Symplectic Admin |
Date Deposited: | 14 Dec 2016 15:24 |
Last Modified: | 19 Jan 2023 07:24 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3004870 |