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Six years after William Rowan Hamilton’s discovery of quaternions, in 1849 James Cockle
introduced the algebra of split quaternions [Co]. (He called them “coquaternions.”) One way
to define the spli...
Split Quaternionic Analysis and Separation of the Series for SL(2,R) and SL(2,C)/SL(2,R
Harmonic analysis on SL(2,R) and SL(2,C)/SL(2,R) minimal representation of SO(3, 3)
2010/12/6
We extend our previous study of quaternionic analysis based on representation theory to the case of split quaternions HR. The special role of the unit sphere in the classical quaternions
H identified...