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- W2066672356 abstract "It is shown that higher-weighted representations of rotation groups can be constructed using multilinear functions in geometric algebra. Methods for obtaining the irreducible representations are found, and applied to the spatial rotation group, SO(3), and the proper Lorentz group, SO+(1,3). It is also shown that the representations can be generalized to non-linear functions, with applications to relativistic wave equations describing higher-spin particles, such as the Rarita–Schwinger equations. The internal spin degrees of freedom and the external space–time degrees of freedom are handled within the same mathematical structure." @default.
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- W2066672356 date "1998-03-01" @default.
- W2066672356 modified "2023-09-26" @default.
- W2066672356 title "Multilinear representations of rotation groups within geometric algebra" @default.
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- W2066672356 doi "https://doi.org/10.1063/1.532397" @default.
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