Geodesic
Unsolvability of the equality problem and subalgebras of finitely presented Lie algebras
Izvestiya. Mathematics , Tome 6 (1972) no. 6, pp. 1153-1199

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In this paper we prove the existence of a finitely presented Lie algebra over an arbitrary field in which the word problem is unsolvable. 
@article{IM2_1972_6_6_a0,
     author = {L. A. Bokut'},
     title = {Unsolvability of the equality problem and subalgebras of finitely presented {Lie} algebras},
     journal = {Izvestiya. Mathematics },
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     volume = {6},
     number = {6},
     year = {1972},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1972_6_6_a0/}
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L. A. Bokut'. Unsolvability of the equality problem and subalgebras of finitely presented Lie algebras. Izvestiya. Mathematics , Tome 6 (1972) no. 6, pp. 1153-1199. http://geodesic.mathdoc.fr/item/IM2_1972_6_6_a0/