The enveloping algebra of a graded Lie algebra of global dimension two contains a free subalgebra on two generators

DOI10.1016/0022-4049(85)90009-XzbMath0587.55004WikidataQ115364459 ScholiaQ115364459MaRDI QIDQ1072159

Rikard Bøgvad

Publication date: 1985

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

enveloping algebraLyusternik-Shnirel'man categoryglobal dimensiongraded Lie algebrarational homotopy Lie algebra

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Rational homotopy theory (55P62) Graded Lie (super)algebras (17B70) Hopf algebras (aspects of homology and homotopy of topological groups) (57T05)

Related Items

Graded Lie algebras of depth one, Loop space homology of spaces of LS category one and two

Cites Work

• Non-commutative graded algebras and their Hilbert series
• Free Lie algebras and free monoids. Bases of free Lie algebras and factorizations of free monoids
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