论文标题
Weyl群，狄拉克不平等和孤立的单一未受到的表示
Weyl groups, the Dirac inequality, and isolated unitary unramified representations
论文作者
论文摘要
我提出了狄拉克不平等的几种应用，以确定孤立的单一表示形式和相关的“光谱差距”在未受到主体序列的情况下。该方法特别效果，是为了将不可约合的单一表示形式连接到Langlands Dual Complecter lie代数中的大型Nilpotent Orbit（例如，常规，次规则）。结果可以看作是Salamanca-Riba的$ P $ -ADIC类似物，分类了不可约合的统一$（\ Mathfrak G，K）$ - 具有强烈规律的无限性特征的模块。
I present several applications of the Dirac inequality to the determination of isolated unitary representations and associated "spectral gaps" in the case of unramified principal series. The method works particularly well in order to attach irreducible unitary representations to the large nilpotent orbits (e.g., regular, subregular) in the Langlands dual complex Lie algebra. The results could be viewed as a $p$-adic analogue of Salamanca-Riba's classification of irreducible unitary $(\mathfrak g,K)$-modules with strongly regular infinitesimal character.
