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In the following, we are going to construct a double cover \(\Phi _2 : {\textrm{SL}}(2,{\mathbb {C}}) \rightarrow \mathcal{L}_{+}\) and \(\Phi _2 : {\textrm{SL}}(2,{\mathbb {C}}) \rightarrow \mathcal{L}_{+}\) of \(\mathcal{L}_{+}\) . Later on \(\Phi _2\) is used in the definition of the spinor representations of \({\textrm{SL}}(2,{\mathbb {C}})\) corresponding to spins 1/2 and 1.

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Spinor Representations of the Poincaré Group

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  • 发表日期：

    2025年

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  • Horst R. Beyer

摘要

In the following, we are going to construct a double cover \(\Phi _2 : {\textrm{SL}}(2,{\mathbb {C}}) \rightarrow \mathcal{L}_{+}\) and \(\Phi _2 : {\textrm{SL}}(2,{\mathbb {C}}) \rightarrow \mathcal{L}_{+}\) of \(\mathcal{L}_{+}\) . Later on \(\Phi _2\) is used in the definition of the spinor representations of \({\textrm{SL}}(2,{\mathbb {C}})\) corresponding to spins 1/2 and 1.