Abstract
We give a detailed discussion of the group Sp(2, R), organized in such a way as to lead to explicit constructive descriptions of the metaplectic group Mp(2) and the universal covering group \( {S_p}\left( {2,R} \right) \) . The aim is to make clear in easily visible fashion the global topological relationships among these groups of physical relevance, and to make practical calculations with them feasible. The properties of one parameter subgroups and the exponential map, and of the Iwasawa decomposition, are also investigated in detail for these groups.
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References
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Simon, R., Mukunda, N. (1993). The Two-Dimensional Symplectic and Metaplectic Groups and Their Universal Cover. In: Gruber, B. (eds) Symmetries in Science VI. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1219-0_55
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DOI: https://doi.org/10.1007/978-1-4899-1219-0_55
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