Kurlin, V. (2007) 'The Baker-Campbell-Hausdorff formula in the free metabelian lie algebra.', *Journal of lie theory.*, 17 (3). pp. 525-538.

## Abstract

The classical Baker-Campbell-Hausdorff formula gives a recursive way to compute the Hausdorff series $H=\ln(e^Xe^Y)$ 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 $H=\ln(e^Xe^Y)$ 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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Keywords: | Lie algebra, metabelian Lie algebra, Hausdorff series, Baker-Campbell-Hausdorff formula, metabelian BCH formula, Zassenhaus formula, Kashiwara-Vergne conjecture. |

Full text: | Full text not available from this repository. |

Publisher Web site: | http://www.heldermann.de/JLT/JLT17/JLT173/jlt17027.htm |

Record Created: | 21 Sep 2007 |

Last Modified: | 23 Aug 2011 14:51 |

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