论文标题
残留表示形式 - 等级一案
Residue representations -- the rank one case
论文作者
论文摘要
拉普拉斯的每个共振作用在非紧凑型类型的riemannian对称空间上的同质矢量束的紧凑型部分上，人们可以将残基表示。本文的目的是研究它们。假定对称空间具有排名一个，但定义向量束的k的不可约表示τ是任意的。我们提供了一种算法，旨在确定这些表示形式是否不可约，找到其Langlands参数，其Gelfand-Kirillov尺寸和波浪前组。例如，在所有经典的真实排名一组的情况下，我们将此算法应用于P形的Laplacian。
With each resonance of the Laplacian acting on the compactly supported sections of a homogeneous vector bundle over a Riemannian symmetric space of the non-compact type, One can associate a residue representation. The purpose of this paper is to study them. The symmetric space is assumed to have rank-one but the irreducible representation τ of K defining the vector bundle is arbitrary. We give an algorithm that aims at determining if these representations are irreducible, finding their Langlands parameters, their Gelfand-Kirillov dimensions and wave front sets. As an example, we apply this algorithm to the Laplacian of the p-forms in the cases of all the classical real rank-one Lie groups.
