The quaternionic determinat
Mathematical Physics
2007-05-23 v2 math.MP
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.
Cite
@article{arxiv.math-ph/9907015,
title = {The quaternionic determinat},
author = {Nir Cohen and Stefano De Leo},
journal= {arXiv preprint arXiv:math-ph/9907015},
year = {2007}
}
Comments
12 pages, AMS-TeX