Work

Cubic norm pairs and hermitian cubic norm structures

Year: 2025

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2501.10426

Author: Smet, Michiel

Institutions: Ghent University, Ministry of Electronics and Information Technology

Language: English

Topic: Advanced Topics in Algebra

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4406692256

Cites:

Cited by: 1

Related to: 10