Centralizers in partially commutative Lie algebras
Algebra i logika, Tome 51 (2012) no. 4, pp. 524-554

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We give a complete description of centralizers of elements of partially commutative Lie algebras. The result is stated explicitly in terms of generators for a partially commutative algebra.
Keywords: partially commutative Lie algebra, centralizer.
@article{AL_2012_51_4_a5,
     author = {E. N. Poroshenko},
     title = {Centralizers in partially commutative {Lie} algebras},
     journal = {Algebra i logika},
     pages = {524--554},
     publisher = {mathdoc},
     volume = {51},
     number = {4},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2012_51_4_a5/}
}
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E. N. Poroshenko. Centralizers in partially commutative Lie algebras. Algebra i logika, Tome 51 (2012) no. 4, pp. 524-554. http://geodesic.mathdoc.fr/item/AL_2012_51_4_a5/