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math.CV2010
An Invitation to Split Quaternionic Analysis
Matvei Libine
Six years after William Rowan Hamilton's discovery of quaternions, in 1849 James Cockle introduced the algebra of split quaternions. (He called them ``coquaternions.'') In this pap…
math.RT2010★ 5 cited
Split Quaternionic Analysis and Separation of the Series for SL(2,R) and SL(2,C)/SL(2,R)
Igor Frenkel, Matvei Libine
We extend our previous study of quaternionic analysis based on representation theory to the case of split quaternions H_R. The special role of the unit sphere in the classical quat…