Geodesic
Another proof of the theorems on the eigenvalues of a square quaternion matrix
Glasgow mathematical journal, Tome 6 (1964) no. 4, pp. 191-195

Voir la notice de l'article provenant de la source Cambridge University Press

The nature of the eigenvalues of a square quaternion matrix had been considered by Lee [1] and Brenner [2]. In this paper the author gives another elementary proof of the theorems on the eigenvalues of a square quaternion matrix by considering the equation Gy = μȳ, where G is an n x n complex matrix, y is a non-zero vector in Cn, μ is a complex number, and ȳ is the conjugate of y. The author wishes to thank Professor Y. C. Wong for his supervision during the preparation of this paper. 
Yeung, Yik-Hoi Au. Another proof of the theorems on the eigenvalues of a square quaternion matrix. Glasgow mathematical journal, Tome 6 (1964) no. 4, pp. 191-195. doi: 10.1017/S2040618500035000
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[1] 1.Lee, H. C., Eigenvalues and canonical forms of matrices with quaternion coefficients, Proc. Roy. Irish Acad. Sect. A, 52 (1949), 253–260. Google Scholar

[2] 2.Brenner, J. L., Matrices of quaternions, Pacific J. Math. 1 (1951), 329–335. Google Scholar | DOI

[3] 3.Chevalley, C., Theory of Lie groups (Princeton, 1946). Google Scholar

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