The aim of this paper is to study the generalized quaternions, H ; and their basic properties. H has a generalized inner product that allows us to identify it with four-dimensional space E 4 : Also, it is shown that the set of all unit generalized quaternions with the group operation of quaternion multiplication is a Lie group of 3-dimension and its Lie algebra is found.
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JAFARI Mehdi YAYLI (2015) studied this question.
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