Abstract
In group calculations connected with multiple commutators, it may become necessary to reduce all the commutators to the left-normalized form (with respect to the arrangement of parentheses). To this end, an identity representing a natural extension of the Jacobi identity in Lie algebras is given. The identity is proved up to elements of the tenth term of the central filtration.
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 46, pp. 53–58, 1974.
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Skopin, A.I. Jacobi identity for groups. J Math Sci 9, 332–336 (1978). https://doi.org/10.1007/BF01085051
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DOI: https://doi.org/10.1007/BF01085051