On derivations associated with different algebraic structures in group algebras
Eurasian mathematical journal, Tome 9 (2018) no. 3, pp. 8-13
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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.
@article{EMJ_2018_9_3_a0,
author = {A. A. Arutyunov},
title = {On derivations associated with different algebraic structures in group algebras},
journal = {Eurasian mathematical journal},
pages = {8--13},
year = {2018},
volume = {9},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/EMJ_2018_9_3_a0/}
}
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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[2] S. MacLane, Categories for the working mathematician, Springer-Verlag, 1978 | MR