Determinants in Jordan matrix algebras

被引：2
|
作者：
Hamhalter, Jan [1 ]
Kalenda, Ondrej F. K. [2 ]
Peralta, Antonio M. [3 ]
机构：
[1] Czech Tech Univ, Fac Elect Engn, Dept Math, Prague, Czech Republic
[2] Charles Univ Prague, Fac Math & Phys, Dept Math Anal, Sokolovska 86, Prague 18675 8, Czech Republic
[3] Univ Granada, Inst Matemat, Fac Ciencias, Dept Anal Matemat,Univ Granada IMAG, Granada, Spain
来源：
LINEAR & MULTILINEAR ALGEBRA | 2023年 / 71卷 / 06期
关键词：
JB*-algebra; Cartan factor of type 6; matrices of biquaternions; determinant; minimal projection;
D O I：
10.1080/03081087.2022.2049187
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a natural notion of determinants in matrix JB*-algebras, i.e. for hermitian matrices of biquaternions and for hermitian 3 x 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.
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页码：961 / 1002
页数：42
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