论文标题
一些单身的Arthur数据包，用于还原$ p $ -ADIC群体
Some Unipotent Arthur Packets for Reductive $p$-adic Groups
论文作者
论文摘要
令$ k $为$ p $ -ADIC字段，让$ \ Mathbf {g}（k）$为连接的还原组的$ k $点，内部到拆分。钢化L-packet组成部分的Aubert-Zelevinsky二重奏组成了$ \ Mathbf {g}（k）$的Arthur数据包。在本文中，我们根据波前集对这种亚瑟数据包进行了替代表征，在某些情况下证明了江-liu和shahidi的猜想。为了与真实和复杂的群体进行类比，我们定义了一些特殊的Arthur数据包，我们称之为\ emph {弱} Arthur数据包，并根据其Langlands参数来描述其成分。
Let $k$ be a $p$-adic field and let $\mathbf{G}(k)$ be the $k$-points of a connected reductive group, inner to split. The set of Aubert-Zelevinsky duals of the constituents of a tempered L-packet form an Arthur packet for $\mathbf{G}(k)$. In this paper, we give an alternative characterization of such Arthur packets in terms of the wavefront set, proving in some instances a conjecture of Jiang-Liu and Shahidi. Pursuing an analogy with real and complex groups, we define some special unions of Arthur packets which we call \emph{weak} Arthur packets and describe their constituents in terms of their Langlands parameters.
