Geodesic
Hall basis of twisted Lie algebras
Journal of Algebraic Combinatorics, Tome 32 (2010) no. 2, pp. 267-286.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: In this paper we define a minimal generating system for the free twisted Lie algebra. This gives a correct formulation and a proof to an old statement of Barratt. To this aim we use properties of the Lyndon words and of the Klyachko idempotent which generalize to twisted Hopf algebras some similar results well known in the classical case.
Keywords: keywords twisted Hopf algebras, twisted Lie algebras, klyachko idempotent, Hall basis, Dynkin word 
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     author = {Aubry, Marc},
     title = {Hall basis of twisted {Lie} algebras},
     journal = {Journal of Algebraic Combinatorics},
     pages = {267--286},
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     volume = {32},
     number = {2},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2010__32_2_a1/}
}
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Aubry, Marc. Hall basis of twisted Lie algebras. Journal of Algebraic Combinatorics, Tome 32 (2010) no. 2, pp. 267-286. http://geodesic.mathdoc.fr/item/JAC_2010__32_2_a1/