The quaternionic determinat

Details The quaternionic determinat The quaternionic determinat

1999-07-19

arxiv.org/abs/math-ph/9907015v2

El. J. Lin. Alg. 7, 100-111 (2000)

Physics

Mathematical Physics

12 pages, AMS-TeX

Scientific paper

The determinant for complex matrices cannot be extended to quaternionic matrices. Instead, the Study determinant and the closely related $q$-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.

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