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[en] We study central polynomials of a relatively free Lie nilpotent algebra of degree . We prove a product theorem, which generalizes the well-known results of Latyshev and Volichenko. We construct generalized Hall polynomials, by using which we prove that the core centre of the algebra is nontrivial for any . We obtain a number of special results when and . Bibliography: 27 titles.
Journal
Sbornik. Mathematics; ISSN 1064-5616; 
; v. 206(11); p. 1610-1627
; v. 206(11); p. 1610-1627