differential forms的共形协变双微分算子
Conformally covariant bi-differential operators for differential forms
摘要：
经典的Rankin-Cohen括号是从$C^\infty(\mathbb R)\times C^\infty(\mathbb R)$到$ C^\infty(\mathbb R)$的双微分算子。它们对于${\rm SL}(2,\mathbb R)$通过主列表示的（对角）作用是协变的。我们构建这些运营商的推广，取代$\mathbb R$的$\mathbb R^n,$的组${\rm SL}(2,\mathbb R)$的组${\rm SO}_0(1,n+1)$视为共形组的$\mathbb R^n,$和功能的微分形式。
英文摘要：
The classical Rankin-Cohen brackets are bi-differential operators from $C^\infty(\mathbb R)\times C^\infty(\mathbb R)$ into $ C^\infty(\mathbb R)$. They are covariant for the (diagonal) action of ${\rm SL}(2,\mathbb R)$ through principal series representations. We construct generalizations of these operators, replacing $\mathbb R$ by $\mathbb R^n,$ the group ${\rm SL}(2,\mathbb R)$ by the group ${\rm SO}_0(1,n+1)$ viewed as the conformal group of $\mathbb R^n,$ and functions by differential forms.
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