ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
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. © 1998 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.532397
Permalink