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math.RA2003★ 1 cited
Comments on the Matrix Representations of Quaternions
Gisele Ducati
Some comments are made on the matrices which serve as the basis of a quaternionic algebra. We show that these matrices are related with the quaternionic action of the imaginary uni…
math.AG2003
Real linear quaternionic operators
Stefano De Leo, Gisele Ducati
In a recent paper [J.Math.Phys. vol42, 2236-2265 (2001)], we discussed differential operators within a quaternionic formulation of quantum mechanics. In particular, we proposed a p…
math.RA2003★ 1 cited
Quaternionic commutations
N. Cohen, S. De Leo, G. Ducati
Given n quaternions we investigate the extent of non-commutativity of their multiple products, commutators and exponential products.