The triangle inequality for graded real vector spaces
arXiv:1903.06545 · doi:10.7153/mia-2020-23-27
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.
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