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Intrinsic Functions on Matrices of Real Quaternions

Published online by Cambridge University Press:  20 November 2018

C. G. Cullen
C. G. Cullen*
Affiliation:
University of Pittsburgh
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It is well known that any semi-simple algebra over the real field R, or over the complex field C, is a direct sum (unique except for order) of simple algebras, and that a finite-dimensional simple algebra over a field is a total matrix algebra over a division algebra, or equivalently, a direct product of a division algebra over and a total matrix algebra over (1). The only finite division algebras over R are R, C, and , the algebra of real quaternions, while the only finite division algebra over C is C.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 456 - 466
Copyright
Copyright © Canadian Mathematical Society 1963

References

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