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Differential Representations of SO(4) Dynamical Group |
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| Authors: | ZHAO Dun WANG Shun-Jin LUO Hong-Gang |
| Institution: | 1. School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China ;2. Department of Physics, Sichuan University, Chengdu 610064, China ;3. Center of Theoretical Physics and Interdisciplinary Studies, Lanzhou University, Lanzhou 730000, China ;4. Institute of Theoretical Physics, Academia Sinica, Beijing 100080, China |
| Abstract: | In this paper we present systematic differential representations for the dynamical group SO(4). These representations include the left and the right differential representations and the left and the right adjoint differential representations in both the group parameter space and its coset spaces. They are the generalization of the differential representations of the SO(3) rotation group in the Euler angles. These representations may find their applications in the study of the physical systems with SO(4) dynamical symmetry. |
| Keywords: | dynamical group differential representation group action coset space |
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