论文标题
明确的Zelevinsky-Aubert双重性
The explicit Zelevinsky-Aubert duality
论文作者
论文摘要
在本文中，我们为$ p $ - 亚种符号和奇特的特殊正交组的Zelevinsky-Aubert双重表示提供了明确的可计算算法。为此，我们为某些衍生物和Socles建立明确的公式。我们还提供了组合标准，以使某些抛物面诱导的表示的不可约性。
In this paper, we give an explicit computable algorithm for the Zelevinsky-Aubert dual of irreducible representations of $p$-adic symplectic and odd special orthogonal groups. To do this, we establish explicit formulas for certain derivatives and socles. We also give a combinatorial criterion for the irreducibility of certain parabolically induced representations.
