Transitive Hall sets
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Publication:6475721
arXivmath/0507032MaRDI QIDQ6475721
Jean-Gabriel Luque, Marianne Deboysson-Flouret, Gérard Henry Edmond Duchamp
Publication date: 2 July 2005
Abstract: We give the definition of Lazard and Hall sets in the context of transitive factorizations of free monoids. The equivalence of the two properties is proved. This allows to build new effective bases of free partially commutative Lie algebras. The commutation graphs for which such sets exist are completely characterized and we explicit, in this context, the classical PBW rewriting process.
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