Left eigenvalues of $2\times 2$ symplectic matrices

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We obtain a complete characterization of the $2\times 2$ symplectic matrices having an infinite number of left eigenvalues. Previously, we give a new proof of a result from Huang and So about the number of eigenvalues of a quaternionic matrix. This is achieved by applying an algorithm for the resolution of equations due to De Leo et al.
7 pages

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Rings and Algebras, 15A04, 11R52, 15A33

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http://salesiana.dossiersoluciones.com/handle/123456789/210385

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.2054
 http://arxiv.org/abs/0812.2054

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arXiv