Geodesic
Bases for partially commutative Lie algebras
Algebra i logika, Tome 50 (2011) no. 5, pp. 595-614

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We give an explicit description of linear bases for partially commutative Lie algebras. To do this, use is made of the Gröbner–Shirshov basis method.
Keywords: partially commutative Lie algebra, linear basis, Gröbner–Shirshov basis. 
@article{AL_2011_50_5_a1,
     author = {E. N. Poroshenko},
     title = {Bases for partially commutative {Lie} algebras},
     journal = {Algebra i logika},
     pages = {595--614},
     publisher = {mathdoc},
     volume = {50},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2011_50_5_a1/}
}
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E. N. Poroshenko. Bases for partially commutative Lie algebras. Algebra i logika, Tome 50 (2011) no. 5, pp. 595-614. http://geodesic.mathdoc.fr/item/AL_2011_50_5_a1/