Abstract
We prove a version of the Poincaré-Birkhoff-Witt Theorem for profinite pronilpotent Lie algebras in which their symmetric and universal enveloping algebras are replaced with appropriate formal analogues and discuss some immediate corollaries of this result.
| Original language | English |
|---|---|
| Pages (from-to) | 611-618 |
| Number of pages | 8 |
| Journal | Journal of Lie Theory |
| Volume | 29 |
| Issue number | 3 |
| State | Published - 2019 |
Keywords
- Formal power series
- Infinite-dimensional Lie algebra
- Poincaré-Birkhoff-Witt
- Profinite vector space
- Pronilpotent Lie algebra
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Cite this
Hamilton, A. (2019). A Poincaré-Birkhoff-Witt theorem for profinite pronilpotent Lie algebras. Journal of Lie Theory, 29(3), 611-618.