Free Lie Algebras as Modules Over Their Enveloping Algebras

DOI10.2307/2041756zbMath0379.17004OpenAlexW4254504919MaRDI QIDQ4159500

John P. Labute

Publication date: 1978

Full work available at URL: https://doi.org/10.2307/2041756

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Universal enveloping (super)algebras (17B35) Infinite-dimensional Lie (super)algebras (17B65) Lie algebras and Lie superalgebras (17B99)

Related Items

On the adjoint representation of a free Lie algebra. II ⋮ Nonassociative rings ⋮ On some properties of Hall elements in the free nonassociative algebra ⋮ Modules

Cites Work

• Algèbres de Lie et pro-p-groupes définis par une seule relation
• The Lower Central Series of the Group 〈x, y: x p = 1 〉
• A Basis for Free Lie Rings and Higher Commutators in Free Groups
• Unnamed Item