Excision and idealization of a multiplicative Lie algebra
Group Theory
2025-04-18 v1
Abstract
In this article, we introduce the concepts of excision and idealization for a multiplicative Lie algebra (also for a Lie algebra), which provides two new multiplicative Lie algebras (or Lie algebras) from a given multiplicative Lie algebra (or Lie algebra) and an ideal, under certain conditions. These concepts may assist in classifying all multiplicative Lie algebras (or Lie algebras) of a specified order (or dimension).
Cite
@article{arxiv.2504.12701,
title = {Excision and idealization of a multiplicative Lie algebra},
author = {Neeraj Kumar Maurya and Amit Kumar and Sumit Kumar Upadhyay},
journal= {arXiv preprint arXiv:2504.12701},
year = {2025}
}