On the free metabelian Novikov and metabelian Lie-admissible algebras
A. Dauletiyarova,
K. Abdukhalikov,
B. K. Sartayev
Abstract:In this paper, we consider Lie-admissible algebras, which are free Novikov
and free Lie-admissible algebras with an additional metabelian identity. We
construct a linear basis for both free metabelian Novikov and free metabelian
Lie-admissible algebras. Additionally, we describe a space of symmetric
polynomials for both the free metabelian Novikov algebra and the free
metabelian Lie-admissible algebra.
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