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 Unitary Representations of the inhomogeneous Lorentz Group and their Significance in Quantum Physics


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In honor of Minkowskis great contribution to Special Relativity, celebrated at this conference, we first review Wigners theory of the projective irreducible representations of the inhomogeneous Lorentz group. We also sketch those parts of Mackeys mathematical theory on induced representations which are particularly useful for physicists. As an important application of the Wigner-Mackey theory, we shall describe in a unified manner free classical and quantum fields for arbitrary spin, and demonstrate that locality implies the normal spin-statistics connection.



Author: Norbert Straumann

Source: https://archive.org/



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