English

Tensor square and isoclinic extensions of multiplicative Lie algebras

Group Theory 2024-06-05 v1

Abstract

In this paper, we discuss the capable and isoclinic properties of the tensor square in the context of multiplicative Lie algebras. We also developed the concept of isoclinic extensions and proved several results for multiplicative Lie algebras. Consequently, we demonstrate that covers of a multiplicative Lie algebra are mutually isoclinic.

Keywords

Cite

@article{arxiv.2406.02246,
  title  = {Tensor square and isoclinic extensions of multiplicative Lie algebras},
  author = {Dev Karan Singh and Amit Kumar and Sumit Kumar Upadhyay and Shiv Datt Kumar},
  journal= {arXiv preprint arXiv:2406.02246},
  year   = {2024}
}