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Split-quaternion
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== Synonyms == * Para-quaternions (Ivanov and Zamkovoy 2005, Mohaupt 2006) Manifolds with para-quaternionic structures are studied in [[differential geometry]] and [[string theory]]. In the para-quaternionic literature, {{math|k}} is replaced with {{math|−k}}. * Exspherical system (Macfarlane 1900) * Split-quaternions (Rosenfeld 1988)<ref>Rosenfeld, B.A. (1988) ''A History of Non-Euclidean Geometry'', page 389, Springer-Verlag {{isbn|0-387-96458-4}}</ref> * Antiquaternions (Rosenfeld 1988) * Pseudoquaternions (Yaglom 1968<ref>[[Isaak Yaglom]] (1968) ''Complex Numbers in Geometry'', page 24, [[Academic Press]]</ref> Rosenfeld 1988)
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