Year: 2022
Type: article
Abstract: We introduce a natural notion of determinants in matrix JB∗-algebras, i.e. for hermitian matrices of biquaternions and for hermitian 3×3 matrices of complex octonions. We establish several properties of these determinants which are useful to understand the structure of the Cartan factor of type 6. As a tool, we provide an explicit description of minimal projections in the Cartan factor of type 6 and a variety of its automorphisms.
Source: Linear and Multilinear Algebra
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1951680367, G2082699589, G3164978297
OpenAlex ID: W3205587940