Classification of the conjugacy classes of $\widetilde{\mathrm{SL}}(2,\mathbb{R})$

Christian Táfula

In this note, we classify the conjugacy classes of ${\widetilde{\mathrm{SL}}}_2(\mathbb{R})$, the universal covering group of ${\mathrm{PSL}}_2(\mathbb{R})$. For any non-central elemen…