Algorithm to compute the rank and a Cartan subalgebra of a matrix Lie algebra with Mathematica
Numerical Analysis
2025-10-20 v1 Numerical Analysis
Abstract
We present in this paper a set of routines constructed to compute the rank of a matrix Lie algebra and also to determine a Cartan subalgebra from a given list of elements
Cite
@article{arxiv.math/0205235,
title = {Algorithm to compute the rank and a Cartan subalgebra of a matrix Lie algebra with Mathematica},
author = {Pablo Alberca Bjerregaard and Candido Martin Gonzalez},
journal= {arXiv preprint arXiv:math/0205235},
year = {2025}
}
Comments
Includes Mathematica source file rank.nb