奇异矩阵模型：Albert代数和自旋因子
Exotic matrix models: the Albert algebra and the spin factor
摘要：
实对称矩阵和复/四元数埃尔米特矩阵的矩阵模型已经被许多作者研究过。这些模型对应于R上的三个简单形式实Jordan代数。这样的代数在30年代被乔丹、冯·诺依曼和维格纳分类，除了这三个之外还有另外两个：（i）自旋因子L_{1,n}，一个建立在R^{n+1}上的代数，和（ii）八元数上的3 × 3埃尔米特矩阵的阿尔伯特代数A。在本文中，我们调查的矩阵模型连接到这些剩余的情况下。
英文摘要：
The matrix models attached to real symmetric matrices and the complex/quaternionic Hermitian matrices have been studied by many authors. These models correspond to three of the simple formally real Jordan algebras over R. Such algebras were classified by Jordan, von Neumann, and Wigner in the 30s, and apart from these three there are two others: (i) the spin factor L_{1,n}, an algebra built on R^{n+1}, and (ii) the Albert algebra A of 3 by 3 Hermitian matrices over the octonions. In this paper we investigate the matrix models attached to these remaining cases.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
