Abstract
THE aim of this chapter is to give all the details of five other proofs (besides the one given in Chap. 3) of the Campbell, Baker, Hausdorff Theorem, stating that ; x♦y := Log(Exp(x) ·Exp(y)) is a series of Lie polynomials in x, y. As we showed in Chap. 3, this is the “qualitative” part of the CBHD Theorem, and the actual formula expressing xthat x♦y as an explicit series (that is, Dynkin’s Formula) can be quite easily derived from this qualitative counterpart as exhibited in Sect. 3.3.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Bonfiglioli, A., Fulci, R. (2012). Some “Short” Proofs of the CBHD Theorem. In: Topics in Noncommutative Algebra. Lecture Notes in Mathematics(), vol 2034. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22597-0_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-22597-0_4
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-22596-3
Online ISBN: 978-3-642-22597-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)