A right normed basis for free Lie algebras and Lyndon-Shirshov words

DOI10.1016/j.jalgebra.2006.03.036zbMath1204.17006OpenAlexW2093921466WikidataQ115351561 ScholiaQ115351561MaRDI QIDQ855732

E. S. Chibrikov

Publication date: 7 December 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.03.036

zbMATH Keywords

free Lie algebrasLyndon-Shirshov wordslinear basisright normed basis

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Identities, free Lie (super)algebras (17B01) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (12)

Linking of letters and the lower central series of free groups ⋮ A study on free roots of Borcherds-Kac-Moody Lie superalgebras ⋮ Root multiplicities for Borcherds algebras and graph coloring ⋮ THE FOX PROBLEM FOR FREE RESTRICTED LIE ALGEBRAS ⋮ Algebras of Jordan brackets and generalized Poisson algebras ⋮ Automorphisms and derivations of the insertion-elimination algebra and related graded Lie algebras ⋮ Bases, filtrations and module decompositions of free Lie algebras ⋮ Hopf algebras in non-associative Lie theory ⋮ Gröbner–Shirshov bases and their calculation ⋮ Lie algebras arising from 1-cyclic perfect complexes ⋮ Anti-commutative Gröbner-Shirshov basis of a free Lie algebra. ⋮ Growth of structure constants of free Lie algebras relative to Hall bases

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• A Basis for Free Lie Rings and Higher Commutators in Free Groups
• On Burnside's Problem
• Free differential calculus. IV: The quotient groups of the lower central series

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