Journal of Lie Theory

no. 3
A Poincaré-Birkhoff-Witt Theorem for Profinite Pronilpotent Lie Algebras
Journal of Lie Theory, Volume 29 (2019) no. 3, pp. 611-618
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.
DOI: 10.5802/jolt.1072
Classification: 13J05, 13J10, 16S10, 16W70, 17B01, 17B35, 17B65
Keywords: Poincaré-Birkhoff-Witt, pronilpotent Lie algebra, formal power series, infinite-dimensional Lie algebra, profinite vector space 
@article{JOLT_2019_29_3_a1,
     author = {A. Hamilton},
     title = {A {Poincar\'e-Birkhoff-Witt} {Theorem} for {Profinite} {Pronilpotent} {Lie} {Algebras}},
     journal = {Journal of Lie Theory},
     pages = {611--618},
     year = {2019},
     volume = {29},
     number = {3},
     doi = {10.5802/jolt.1072},
     zbl = {1451.17005},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1072/}
}
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%T A Poincaré-Birkhoff-Witt Theorem for Profinite Pronilpotent Lie Algebras
%J Journal of Lie Theory
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A. Hamilton. A Poincaré-Birkhoff-Witt Theorem for Profinite Pronilpotent Lie Algebras. Journal of Lie Theory, Volume 29 (2019) no. 3, pp. 611-618. doi: 10.5802/jolt.1072

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