Geodesic
The Right-Normed Basis for a Free Lie Superalgebra and Lyndon–Shirshov Words
Algebra i logika, Tome 45 (2006) no. 4, pp. 458-483

Voir la notice de l'article provenant de la source Math-Net.Ru

We construct a basis for a free Lie superalgebra consisting of right-normed words $[a_{i_{1}}[a_{i_{2}}[\dots[a_{i_{t-1}}a_{i_{t}}]\dots]]]$, where $a_{i_{j}}$ are free generators.
Keywords: Lie algebra, Lyndon–Shirshov words, Lie superalgebra, basis. 
@article{AL_2006_45_4_a5,
     author = {E. S. Chibrikov},
     title = {The {Right-Normed} {Basis} for a {Free} {Lie} {Superalgebra} and {Lyndon{\textendash}Shirshov} {Words}},
     journal = {Algebra i logika},
     pages = {458--483},
     publisher = {mathdoc},
     volume = {45},
     number = {4},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2006_45_4_a5/}
}
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E. S. Chibrikov. The Right-Normed Basis for a Free Lie Superalgebra and Lyndon–Shirshov Words. Algebra i logika, Tome 45 (2006) no. 4, pp. 458-483. http://geodesic.mathdoc.fr/item/AL_2006_45_4_a5/