2006/04/21 by Mehdi Hage Hassan, Hassan, Mehdi Hage
Engineering · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Elasticity and Material Modeling #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematics and Applications #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.math-ph/0604051
arxiv created 2006/04/21 · openalex publication_date 2006/04/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We demonstrated using an elementary method that the inertia tensor of a material point and the cross product of two vectors were only possible in a three or seven dimensional space. The representation matrix of the cross product in the seven dimensional space and its properties were given. The relationship between the inertia tensor and the octonions algebra was emphasized for the first time in this work.