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E. Witt (1937)
Treue Darstellung Liescher Ringe.Journal für die reine und angewandte Mathematik (Crelles Journal), 1937
Author's address: A. Razmadze Mathematical Institute Georgian Academy of Sciences 1
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Georgia E-mail: tamar@rmi.acnet.ge
The notion of central series for groups with action on itself is introduced. An analogue of Witt's construction is given for such groups. A certain condition is found for the action and the corresponding category is defined. It is proved that the above construction defines a functor from this category to the category of Lie–Leibniz algebras and in particular to Leibniz algebras; also the restriction of this functor on the category of groups leads us to Lie algebras and gives the result of Witt.
Georgian Mathematical Journal – de Gruyter
Published: Dec 1, 2002
Keywords: Central series; groups; groups with action on itself; Lie algebras; Leibniz algebras; Lie–Leibniz algebras
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