On the free metabelian Novikov and metabelian Lie-admissible algebras

A. Dauletiyarova; K. Abdukhalikov; B. K. Sartayev

doi:10.46298/cm.12877

A. Dauletiyarova ; K. Abdukhalikov ; B. K. Sartayev - On the free metabelian Novikov and metabelian Lie-admissible algebras

cm:12877 - Communications in Mathematics, May 9, 2024, Volume 33 (2025), Issue 3 (Special issue: European Non-Associative Algebra Seminar) - https://doi.org/10.46298/cm.12877

On the free metabelian Novikov and metabelian Lie-admissible algebrasArticle

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

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.

Comment: 10 p, Journal version

https://doi.org/10.46298/cm.12877

Source: arXiv.org:2401.06993

Volume: Volume 33 (2025), Issue 3 (Special issue: European Non-Associative Algebra Seminar)

Published on: May 9, 2024

Accepted on: April 13, 2024

Submitted on: January 17, 2024

Keywords: Mathematics - Rings and Algebras

Licence: arXiv.org - Non-exclusive license to distribute