Abstract
We have a consistent notion of conjugation for R ⊂ C ⊂ H. Namely,
We clearly have \( \overline{\overline \alpha } {\text{ = }}\alpha \) in all cases and
It is an exercise to prove that
Of course for R or C this is the same as
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© 1979 Springer-Verlag New York Inc.
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Curtis, M.L. (1979). Orthogonal Groups. In: Matrix Groups. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0093-9_2
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DOI: https://doi.org/10.1007/978-1-4684-0093-9_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90462-7
Online ISBN: 978-1-4684-0093-9
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