Square-Zero Basis of Matrix Lie Algebras
Representation Theory
2020-11-16 v1
Abstract
A method is obtained to compute the maximum number of functionally independent invariant functions under the action of a linear algebraic group as long as its Lie algebra admits a base of square-zero matrices. Some applications are also given.
Keywords
Cite
@article{arxiv.1807.06502,
title = {Square-Zero Basis of Matrix Lie Algebras},
author = {R. Durán Díaz and V. Gayoso Martínez and L. Hernández Encinas and J. Muñoz Masqué},
journal= {arXiv preprint arXiv:1807.06502},
year = {2020}
}