This article is cited in 10 papers

Mathematics

Varieties of Lie algebras with weak growth of the sequence of codimensions

S. P. Mishchenko


Abstract: We prove that any variety of Lie algebras with a sequence of codimensions of multilinear identities which grows “weakly”, in particular as a polynomial, is a subvariety in the variety of all Lie algebras whose commutator subalgebra is nilpotent of class at most $c$, for some fixed integer $c$.

UDC: 519.48

Received: 03.02.1982

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