The octonionic eigenvalue problem

被引：2

作者：

Tevian Dray

Corinne A. Manogue

机构：

[1] Oregon State University,Department of Mathematics

[2] Oregon State University,Department of Physics

来源：

Advances in Applied Clifford Algebras | 1998年 / 8卷 / 2期

关键词：

Eigenvalue Problem; Jordan Algebra; Real Eigenvalue; Hermitian Matrix; Hermitian Matrice;

D O I：

10.1007/BF03043104

中图分类号：

学科分类号：

摘要：

We discuss the eigenvalue problem for 2×2 and 3×3 octonionic Hermitian matrices. In both cases, we give the general solution for real eigenvalues, and we show there are also solutions with non-real eigenvalues.

引用

页码：341 / 364

页数：23

共 10 条

[1]

Goldstine H. H.(1962)On a Hilbert Space with Nonassociative Scalars Proc. Nat. Aca. 48 1134-1134

[2]

Horwitz L. P.(1981)A Characteristic Equation for 3×3 Matrices over the Octonions Uspekhi Mat. Nauk 36 197-198

[3]

Ogievetskiî O. V.(1949)Eigenvalues and Canonical Forms of Matrices with Quaternion Coefficients Proc. Roy. Irish Acad. 52 253-260

[4]

Lee H. C.(1951)Matrices of Quaternions Pacific J. Math. 1 329-335

[5]

Brenner J. L.(1989)General Solutions of Covariant Superstring Equations of Motion Phys. Rev. 40 4073-4077

[6]

Manogue Corinne A.(1934)undefined Ann. Math. 36 29-29

[7]

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[8]

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[9]

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[10]

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