Abstract
Recall that aLie algebrais an algebra, over a fieldFwhich satisfies the identities (anticommutativity) (the Jacobi identity).The first identity is referred to as `anticommutativity’; because, by substitutingx =a +bwe obtain a2+ab + ba + b 2 =0, i.e.ab = -ba.
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© 1994 Springer Science+Business Media Dordrecht
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Bokut’, L.A., Kukin, G.P. (1994). Free Lie Algebras. In: Algorithmic and Combinatorial Algebra. Mathematics and Its Applications, vol 255. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2002-9_2
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DOI: https://doi.org/10.1007/978-94-011-2002-9_2
Publisher Name: Springer, Dordrecht
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