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math-ph1999
The quaternionic determinat
Nir Cohen, Stefano De Leo
The determinant for complex matrices cannot be extended to quaternionic matrices. Instead, the Study determinant and the closely related -determinant are widely used. We show th…
hep-th1999
Quaternionic Groups in Physics: A Panoramic Review
S. De Leo, G. Ducati
Due to the non-commutative nature of quaternions we introduce the concept of left and right action for quaternionic numbers. This gives the opportunity to manipulate appropriately…