A remark on nilpotent Lie algebras that do no admit gradings

Yu. A. Neretin

Zapiski Nauchnykh Seminarov POMI, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part XXX, Tome 481 (2019), pp. 108-124

Résumé

We explain why nilpotent Lie algebras usually are characteristically nilpotent, i.e., do not admit $\mathbb{Z}$-gradings.

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