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FOCM
2006

The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series

13 years 11 months ago
The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie Series
We present an approach that allows performing computations related to the Baker-Campbell-Haussdorff (BCH) formula and its generalizations in an arbitrary Hall basis, using labeled rooted trees. In particular, we provide explicit formulas (given in terms of the structure of certain labeled rooted trees) of the continuous BCH formula. We develop a rewriting algorithm (based on labeled rooted trees) in the dual Poincar
A. Murua
Added 12 Dec 2010
Updated 12 Dec 2010
Type Journal
Year 2006
Where FOCM
Authors A. Murua
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