The determinant of hermitian quaternionic matrices defined by Moore can be seen as a particular case of the generalized pfaffian defined by Knus-Parimala-Sridharan or of the generic norm of Jordan algebras defined by Jacobson.
Tignol, J.-P. (1999). Pfaffiens et déterminant de E.H. Moore. Belgian Mathematical Society - Simon Stevin. Bulletin, 6(4), 537-539. https://hdl.handle.net/2078.5/140085 (Original work published 1999)