An embedding theorem for Nijenhuis Lie algebras
Rings and Algebras
2025-12-13 v1
Abstract
This paper introduces the Higman-Neumann-Neumann extension (HNN extension; for short) for Nijenhuis Lie algebras and provides an embedding theorem. To this end, we employ the theory of Gr\"obner-Shirshov basis for Lie {\Omega}-algebras in order to find a normal form for our construction. Then we show that every Nijenhuis Lie algebra embeds into its HNN-extension. Nijenhuis Lie algebras, Gr\"obner-Shirshov basis, HNN extension
Cite
@article{arxiv.2512.10743,
title = {An embedding theorem for Nijenhuis Lie algebras},
author = {Alireza Najafizadeh and Chia Zargeh},
journal= {arXiv preprint arXiv:2512.10743},
year = {2025}
}