Geodesic
A Poincaré-Birkhoff-Witt Theorem for Profinite Pronilpotent Lie Algebras
Alastair Hamilton1
1Dept. of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, U.S.A.
Journal of Lie Theory, Tome 29 (2019) no. 3, pp. 611-618

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 13J05, 13J10, 16S10, 16W70, 17B01, 17B35, 17B65
Mots-clés : Poincaré-Birkhoff-Witt, pronilpotent Lie algebra, formal power series, infinite-dimensional Lie algebra, profinite vector space

Alastair Hamilton  1

1 Dept. of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, U.S.A. 
Alastair Hamilton. A Poincaré-Birkhoff-Witt Theorem for Profinite Pronilpotent Lie Algebras. Journal of Lie Theory, Tome 29 (2019) no. 3, pp. 611-618. http://geodesic.mathdoc.fr/item/JOLT_2019_29_3_a1/
@article{JOLT_2019_29_3_a1,
     author = {Alastair 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},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2019_29_3_a1/}
}
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