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Journal : JOURNAL OF NATURAL SCIENCES AND MATHEMATICS RESEARCH

Quaternionic Version of Rotation Groups and Lorentz Group Rahmawati, Latief; Khalif, Muhammad Ardhi; Rosyid, Muhammad Farchani
JOURNAL OF NATURAL SCIENCES AND MATHEMATICS RESEARCH 2015: JNSMR Volume 1 Issue 1 Year 2015
Publisher : Fakultas Ilmu Tarbiyah dan Keguruan, UIN Walisongo

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Abstract

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