The quaternionic determinat
arXiv:math-ph/9907015
Abstract
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 that the Study determinant can be characterized as the unique functional which extends the {\em absolute value} of the complex determinant and discuss its spectral and linear algebraic aspects.
12 pages, AMS-TeX