On the free metabelian Novikov and metabelian Lie-admissible algebras
arXiv:2401.06993 · doi:10.46298/cm.12877
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.
10 p, Journal version