Quaternionic determinants (Q1361138)

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scientific article; zbMATH DE number 1038551
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Quaternionic determinants
scientific article; zbMATH DE number 1038551

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    Quaternionic determinants (English)
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    23 July 1997
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    Some of the classical matrix groups are most conceptually defined as groups of quaternionic matrices. But, the quaternions not being commutative, it is not clear how to define the determinant of a quaternionic matrix. Over the years, many mathematicians have given different definitions. In this paper the author discuss some of these. Namely: Definitions by W. R. Hamilton, A. Cayley, E. Study, J. Diedonné and E. H. Moore.
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    matrix groups
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    quaternionic matrices
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    determinant
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