论文标题
一些对称空间的分支定律
Some branching laws for symmetric spaces
论文作者
论文摘要
在本文中，我们考虑了形式x = u（p，q）/u（1）u（p，q-1）及其离散串联表示形式的统一对称空间。受a.venkatesh和y.sekellarides对P型球形空间L组的工作的启发，我们制定并证明了限制相同类型和相应单位空间的较小亚组的天然相对分支定律。我们将此视为公平的步骤，证明了gan Grass gross Prasad suplase for Unitary suntary subtary subles。使用周期积分和T.Kobayashi的一些结果，我们证明了论文猜想的类似物。
In this paper we consider the unitary symmetric spaces of the form X=U(p,q)/U(1)U(p,q-1) and their discrete series representations. Inspired by the work of A.Venkatesh and Y.Sekellarides on L-groups of p-adic spherical spaces we formulate and prove natural relative branching laws for the restriction to smaller subgroups of the same type and corresponding unitary spaces.We think of this as steps to formulation and proving Gan Gross Prasad conjectures for unitary spaces. Using period integral and some results of T.Kobayashi we prove an analogue of thesis conjectures.
