A brief introduction to quaternion matrices and linear algebra and on bounded groups of quaternion matrices
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Abstract:
The division algebra of real quaternions, as the only noncommutative normed division real algebra up to isomorphism of normed algebras, is of great importance. In this note, first we present a brief introduction to quaternion matrices and quaternion linear algebra. This, among other things, will help us present the counterpart of a theorem of Herman Auerbach in the setting of quaternions. More precisely, we prove that every bounded group of matrices with quaternion entries is similar to a group of unitary quaternion matrices.
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Journal title
volume 4 issue 3 (Special issue)
pages 97- 148
publication date 2018-07-01
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