Geodesic
A remark on nilpotent Lie algebras that do no admit gradings
Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XXX, Tome 481 (2019), pp. 108-124

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We explain why nilpotent Lie algebras usually are characteristically nilpotent, i.e., do not admit $\mathbb{Z}$-gradings. 
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     author = {Yu. A. Neretin},
     title = {A remark on nilpotent {Lie} algebras that do no admit gradings},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {108--124},
     publisher = {mathdoc},
     volume = {481},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2019_481_a7/}
}
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Yu. A. Neretin. A remark on nilpotent Lie algebras that do no admit gradings. Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XXX, Tome 481 (2019), pp. 108-124. http://geodesic.mathdoc.fr/item/ZNSL_2019_481_a7/