Cubic norm pairs and hermitian cubic norm structures
Rings and Algebras
2025-09-05 v2
Abstract
We generalize cubic norm structures to cubic norm pairs and extend hermitian cubic norm structures to arbitrary commutative unital rings. For the associated ``skew dimension one structurable algebra" of these pairs, we construct a corresponding Lie algebra and a group of automorphisms of the Lie algebra.
Cite
@article{arxiv.2501.10426,
title = {Cubic norm pairs and hermitian cubic norm structures},
author = {Michiel Smet},
journal= {arXiv preprint arXiv:2501.10426},
year = {2025}
}
Comments
63 pages