Abstract
In this chapter, after a brief review of Lie algebras and descending central series, we study free Lie algebras over fields of characteristic 0 and the Baker–Campbell–Hausdorff (BCH) product.
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Notes
- 1.
We adopt the notion of a limit and colimit in the sense usually adopted in category theory, see e.g. [175]. In particular, we shall take limit to mean every inverse or projective limit, and we shall take colimit to mean every direct or inductive limit.
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Manetti, M. (2022). Lie Algebras. In: Lie Methods in Deformation Theory. Springer Monographs in Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-19-1185-9_2
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DOI: https://doi.org/10.1007/978-981-19-1185-9_2
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