The triangle inequality for graded real vector spaces
General Mathematics
2024-07-03 v2
Abstract
In this paper, we prove that a natural candidate for a homogeneous norm on a graded Lie algebra of any length satisfies the triangle inequality which answers Moskowitz's question.
Keywords
Cite
@article{arxiv.1903.06545,
title = {The triangle inequality for graded real vector spaces},
author = {Songpon Sriwongsa and Keng Wiboonton},
journal= {arXiv preprint arXiv:1903.06545},
year = {2024}
}
Comments
In the first version, we had the result for a graded Lie algebra of length 5. According to the review's comments, we successfully proved the result for any length. Therefore, we changed the title of the paper and updated the arguments in the main result