A generalization of the Craig-Sakamoto theorem to Euclidean Jordan algebras

作者：Tao, J.^*; Wang, Guoqiang

来源：Linear Algebra and Its Applications, 2016, 493: 134-145.

DOI：10.1016/j.laa.2015.11.039

• Euclidean Jordan algebra
• Quadratic representation
• Craig-Sakamoto theorem

Letac and Massam [10] extended the Craig-Sakamoto theorem to Euclidean Jordan algebras. In this paper, we give another proof of this generalization by reformulating the result in terms of rank and determinant equalities and by proving the result in each of the simple Euclidean Jordan algebras.

• 出版日期2016-3-15
• 单位上海工程技术大学