Quaternionic version of rotation groups and Lorentz Group has been constructed. The rotation groups that has been discussed were quaternionic version of groups , O(3), and SO(3). The Lorentz groups that has been discussed were quaternionic version of groups SL(2;C), O(3; 1), and SOo(3; 1). Starting from the definition of each group, the parameters of the group were obtained. Finally the generators of the group were obtained. The commutation of the generator were also computed.Â
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