English

Multiplicative Lie Algebra Structures on a Group

Group Theory 2019-12-13 v1

Abstract

The main aim of this paper is to classify the distinct multiplicative Lie algebra structures (up to isomorphism) on a given group. We also see that for a given group GG, every homomorphism from the non-abelian exterior square GGG \wedge G to GG gives a multiplicative Lie algebra structure on GG under certain conditions.

Keywords

Cite

@article{arxiv.1912.06080,
  title  = {Multiplicative Lie Algebra Structures on a Group},
  author = {Mani Shankar Pandey and Sumit Kumar Upadhyay},
  journal= {arXiv preprint arXiv:1912.06080},
  year   = {2019}
}
R2 v1 2026-06-23T12:44:20.777Z