An extensive group-theoretical treatment of linear relativistic field equations on Minkowski spacetime of arbitrary dimension $D\geqslant 3$ is presented. An exhaustive treatment is performed of the two most important classes of unitary irreducible representations of the Poincar\'e group, corresponding to massive and massless fundamental particles. Covariant field equations are given for each unitary irreducible representation of the Poincar\'e group with non-negative mass-squared.

中文翻译：

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Poincar\'e 群在任意时空维度的幺正表示

提出了对任意维数 $D\geqslant 3$ 的闵可夫斯基时空上的线性相对论场方程的广泛的群论处理。对 Poincar\'e 群的两类最重要的幺正不可约表示进行了详尽的处理，对应于有质量和无质量的基本粒子。对于具有非负质量平方的 Poincar\'e 群的每个幺正不可约表示，都给出了协变场方程。