3 problems

Let $G_{BMS}=H\ltimes N$ be the Bondi–Metzner–Sachs group, where $H$ is the proper orthochronous Lorentz group and $N$ is the abelian group of real-valued square-integrable functio…

Let the BMS group be the semidirect product $\operatorname{BMS}=\mathcal{S}\rtimes_\sigma\mathcal{M}$, where $\mathcal{S}$ is the supertranslation group and $\mathcal{M}$ is the Mö…

Let $F(P(N^{+}))$ be the space of smooth functions on the projective space $P(N^{+})$. In the three-dimensional case, choose … and equip this space with its nuclear topology. Conje…