Geodesic
On the Restricted Lie Algebra Structure of the Witt Lie Algebra in Finite Characteristic
Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 2, pp. 69-74.

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The article contains an explicit formula for the restricted Lie algebra structure in the Witt Lie algebra over a field of finite characteristic. Some combinatorial lemmas can be of independent interest.
Keywords: restricted Lie algebra, Witt algebra. 
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     title = {On the {Restricted} {Lie} {Algebra} {Structure} of the {Witt} {Lie} {Algebra} in {Finite} {Characteristic}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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D. B. Fuchs; T. Evans. On the Restricted Lie Algebra Structure of the Witt Lie Algebra in Finite Characteristic. Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 2, pp. 69-74. http://geodesic.mathdoc.fr/item/FAA_2002_36_2_a6/

[1] Dzhekobson N., Algebry Li, Mir, M., 1964 | MR