# On the free metabelian Novikov and metabelian Lie-admissible algebras

Source: [On the free metabelian Novikov and metabelian Lie-admissible algebras](<https://www.sota2.com/research/paper/68fa5c2f1e209131ce9ceba1>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-25T17:29:28.348Z

Authors: A. Dauletiyarova, K. Abdukhalikov, B. K. Sartayev

Published: 2024-01-13T06:37:30.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2401.06993>)

[PDF](<https://arxiv.org/pdf/2401.06993.pdf>)