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Zbl 0881.15007
Aslaksen, Helmer
Quaternionic determinants. (English)
[J] Math. Intell. 18, No.3, 57-65 (1996). ISSN 0343-6993

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.
[K.Burian (Havířov)]

MSC 2000:: *15A15 Special matrix functions
15A33 Matrices over special rings

Keywords: matrix groups; quaternionic matrices; determinant

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