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References
S. L. Altmann,Rotations, Quaternions and Double Groups, Oxford: Clarendon Press (1986).
A. W. Conway, On the application of quaternions to some recent developments of electrical theory,Proc. Roy. Irish Acad. A29 (1911), 80.
A. W. Conway, The quaternionic form of relativity,Phil. Mag. 24 (1912), 208.
A. W. Conway, Quaternions and quantum mechanics,Ponteacrè Acad. Sci. Acta 12 (1948), 204–277.
A. W. Conway, Hamilton, his life work and influence,Proc. Second Canadian Math. Congress, Toronto: University of Toronto Press (1951).
P. A. M. Dirac, Applications of quaternions to Lorentz transformations,Proc. Roy. Irish Acad. A50 (1945), 261–270.
F. Gürsey, Contributions to the quaternionic formalism in special relativity,Rev. Paculté Sci. Univ. Istanbul A20 (1955), 149–171.
F. Gürsey, Correspondence between quaternions and fourspinors,Rev. Faculté Sci. Univ. Istanbul A21 (1958), 33–54.
N. Jacobson,Basic Algebra II, San Francisco: Freeman (1980).
J. Lambek, Biquaternion vectorfields over Minkowski space, Thesis, Part I, McGill University (1950).
J. C. Maxwell, Remarks on the mathematical classification of physical quantities,Proc. London Math. Soc. 3 (1869), 224–232.
W. Moore,Schrodinger, Life and Thought, Cambridge: Cambridge University Press (1989).
P. J. Nahin, Oliver Heaviside,Sci. Am. 1990,122–129.
S. Silberstein,Theory of Relativity, London: Macmillan (1924).
A. Sudbury,Quantum Mechanics and the Particles of Nature, Cambridge: Cambridge University Press, (1986).
J. L. Synge, Quaternions, Lorentz transformations, and the Conway-Dirac-Eddington matrices,Commun. Dublin Inst. Adv. Studies A21 (1972), 1–67.
P. Weiss, On some applications of quaternions to restricted relativity and classical racliation theory,Proc. Roy. Irish Academy A46 (1941), 129–168.
H. Weyl,The Theory of Groups and Quantum Mechanics, Dover Publications, New York: (1950).
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Lambek, J. If hamilton had prevailed: quaternions in physics. The Mathematical Intelligencer 17, 7–15 (1995). https://doi.org/10.1007/BF03024783
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DOI: https://doi.org/10.1007/BF03024783
