Geodesic
Primitive decomposition of elements of the free metabelian Lie algebra of rank two
Serdica Mathematical Journal, Tome 43 (2017) no. 3-4, pp. 369-374.

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We give a primitive decomposition of the elements of the free metabelian Lie algebra of rank 2 over a field of characteristic 0 and determine the primitive length of the elements.
Keywords: Free metabelian Lie algebras, primitive length, 17B01, 17B30, 17B40 
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Aydın, Ela. Primitive decomposition of elements of the free metabelian Lie algebra of rank two. Serdica Mathematical Journal, Tome 43 (2017) no. 3-4, pp. 369-374. http://geodesic.mathdoc.fr/item/SMJ2_2017_43_3-4_a7/