论文标题
分支法的隐藏对称性
A hidden symmetry of a branching law
论文作者
论文摘要
我们将分支法律考虑在其子组$ h = o（p-1，q）$上限制一些不可约的单一表示$π$ $ g = o（p，q）$。在Kobayashi（Arxiv：1907.07994）中，确定了$ O（P-1，Q）$的不可约的子代表，以确定单位$π| _ {O（p-1，q）} $的限制。通过考虑对不可约说明包的限制，我们获得了另一个非常简单的分支定律，该定律是在Orsted Speh中猜想的（Arxiv：1907.07544）。
We consider branching laws for the restriction of some irreducible unitary representations $Π$ of $G=O(p,q)$ to its subgroup $H=O(p-1,q)$. In Kobayashi (arXiv:1907.07994), the irreducible subrepresentations of $O(p-1,q)$ in the restriction of the unitary $Π|_{O(p-1,q) }$ are determined. By considering the restriction of packets of irreducible representations we obtain another very simple branching law, which was conjectured in Orsted-Speh (arXiv:1907.07544).
