Labute, John P. Free Lie algebras as modules over their enveloping algebras. (English) Zbl 0379.17004 Proc. Am. Math. Soc. 68, 135-139 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 2 ReviewsCited in 4 Documents MSC: 17B99 Lie algebras and Lie superalgebras 17B35 Universal enveloping (super)algebras 17B65 Infinite-dimensional Lie (super)algebras 16S10 Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) PDF BibTeX XML Cite \textit{J. P. Labute}, Proc. Am. Math. Soc. 68, 135--139 (1978; Zbl 0379.17004) Full Text: DOI OpenURL References: [1] Группы и алгебры Ли., Издат. ”Мир”, Мосцощ, 1976 (Руссиан). Алгебры Ли, свободные алгебры Ли и группы Ли. [Лие алгебрас, фрее Лие алгебрас анд Лие гроупс]; Едитед бы А. А. Кириллов анд А. И. Кострикин; Транслатед фром тхе Френч бы Ју. А. Бахтурин анд Г. И. Ол\(^{\приме}\)šанский; Ѐлементы Математики. [Елеменц оф Матхематицс]. [2] Marshall Hall Jr., A basis for free Lie rings and higher commutators in free groups, Proc. Amer. Math. Soc. 1 (1950), 575 – 581. · Zbl 0039.26302 [3] John P. Labute, Algèbres de Lie et pro-\?-groupes définis par une seule relation, Invent. Math. 4 (1967), 142 – 158 (French). · Zbl 0212.36303 [4] -, The lower central series of the group \( \langle x,y:{x^p} = 1\rangle \) (to appear). · Zbl 0393.20024 [5] W. Magnus, A. Karrass and D. Solitar, Combinatorial group theory, Interscience, New York, 1966. · Zbl 0138.25604 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.