English

An Algorithm for Determining Lie Algebra Types

Rings and Algebras 2025-12-05 v1

Abstract

This paper investigates the Jordan--Kronecker invariant of finite dimensional complex Lie algebras. We present an explicit algorithm for determining the type of a given Lie algebra from its Jordan--Kronecker invariant. The algorithm is implemented in a specific Matlab program.

Keywords

Cite

@article{arxiv.2512.04438,
  title  = {An Algorithm for Determining Lie Algebra Types},
  author = {Tu N. T. C. Nguyen and Tuan A. Nguyen and Vu A. Le},
  journal= {arXiv preprint arXiv:2512.04438},
  year   = {2025}
}
R2 v1 2026-07-01T08:08:50.076Z