Geodesic
On derivations associated with different algebraic structures in group algebras
Eurasian mathematical journal, Tome 9 (2018) no. 3, pp. 8-13 
A. A. Arutyunov. On derivations associated with different algebraic structures in group algebras. Eurasian mathematical journal, Tome 9 (2018) no. 3, pp. 8-13. http://geodesic.mathdoc.fr/item/EMJ_2018_9_3_a0/
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     author = {A. A. Arutyunov},
     title = {On derivations associated with different algebraic structures in group algebras},
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     url = {http://geodesic.mathdoc.fr/item/EMJ_2018_9_3_a0/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The paper is devoted to the comparison of derivation algebras arising in associative and Lie structures of group algebras. We shall prove that an algebra of derivations given by Lie-structure contains an algebra of associative derivations. We will give a description of Lie derivations in terms of the gruppoid associated with an inner action of the group.

[1] A.A. Arutyunov, A.S. Mishchenko, A.I. Shtern, “Derivations of group algebras”, Fundament. i Prikl. Matem., 21:6 (2016), 65–78 (in Russian)

[2] S. MacLane, Categories for the working mathematician, Springer-Verlag, 1978 | MR