论文标题
对称对的有界多重分支
Bounded multiplicity branching for symmetric pairs
论文作者
论文摘要
我们证明，任何简单连接的非紧凑型半完整谎言组$ g $ comply compliond $π$ undimential distrible-oundrible-oundrible-oundrible-π$，具有限制性的多重性属性$π| _ {g'} $，用于所有对称的对$（g，g'）$。 我们还讨论了哪些不可约表示$π$满足有限的多重性属性。
We prove that any simply connected non-compact semisimple Lie group $G$ admits an infinite-dimensional irreducible representation $Π$ with bounded multiplicity property of the restriction $Π|_{G'}$ for all symmetric pairs $(G, G')$. We also discuss which irreducible representations $Π$ satisfy the bounded multiplicity property.
