Geodesic
Gröbner–Shirshov Bases for the Lie Algebra
Algebra i logika, Tome 44 (2005) no. 2, pp. 131-147

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

We estimate Gröbner–Shirshov bases for the Lie algebra $A_n$ given arbitrary orders of generators (nodes of a Dynkin graph). Previously, the Gröbner–Shirshov basis was computed in [1] for the particular case where nodes of the Dynkin graph are ordered successively.
Keywords: Lie algebra, Gröbner–Shirshov basis. 
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     author = {A. N. Koryukin},
     title = {Gr\"obner{\textendash}Shirshov {Bases} for the {Lie} {Algebra}},
     journal = {Algebra i logika},
     pages = {131--147},
     publisher = {mathdoc},
     volume = {44},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2005_44_2_a0/}
}
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A. N. Koryukin. Gröbner–Shirshov Bases for the Lie Algebra. Algebra i logika, Tome 44 (2005) no. 2, pp. 131-147. http://geodesic.mathdoc.fr/item/AL_2005_44_2_a0/