Geodesic
The quaternionic determinant
The electronic journal of linear algebra, Tome 7 (2000), pp. 100-111.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The determinant for complex matrices cannot be extended to quaternionic matrices. Instead, the Study determinant and the closely related q-determinant are widely used. In this paper it is shown that the Study determinant can be characterized as the unique functional extending the absolute value of the complex determinant, and its spectral and linear algebraic aspects are discussed.
Classification : 15A09, 15A33
Keywords: quaternions, matrices, determinant 
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Cohen, Nir; De Leo, Stefano. The quaternionic determinant. The electronic journal of linear algebra, Tome 7 (2000), pp. 100-111. http://geodesic.mathdoc.fr/item/ELA_2000__7__a5/